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Finding the Third Proportional to 635,786,146,908 and 977,248,891,362

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Solution

The third proportional to 635,786,146,908 and 977,248,891,362 is: 1,502,101,611,230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,786,146,908 : 977,248,891,362 = 977,248,891,362 : x
  2. Step 2: Convert to fraction form
    635,786,146,908/977,248,891,362 = 977,248,891,362/x
  3. Step 3: Cross multiply
    635,786,146,908x = 977,248,891,362 × 977,248,891,362
  4. Step 4: Simplify right side
    635,786,146,908x = 955,015,395,668,258,054,995,968
  5. Step 5: Solve for x
    x = 955,015,395,668,258,054,995,968/635,786,146,908
  6. Step 6: Final answer
    x = 1,502,101,611,230.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.