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Finding the Third Proportional to 418,967,478 and 910,454,782.50

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Solution

The third proportional to 418,967,478 and 910,454,782.50 is: 1,978,501,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,967,478 : 910,454,782.50 = 910,454,782.50 : x
  2. Step 2: Convert to fraction form
    418,967,478/910,454,782.50 = 910,454,782.50/x
  3. Step 3: Cross multiply
    418,967,478x = 910,454,782.50 × 910,454,782.50
  4. Step 4: Simplify right side
    418,967,478x = 828,927,910,977,122,304
  5. Step 5: Solve for x
    x = 828,927,910,977,122,304/418,967,478
  6. Step 6: Final answer
    x = 1,978,501,803.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.