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Finding the Third Proportional to 112,980 and 243,471

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Solution

The third proportional to 112,980 and 243,471 is: 524,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,980 : 243,471 = 243,471 : x
  2. Step 2: Convert to fraction form
    112,980/243,471 = 243,471/x
  3. Step 3: Cross multiply
    112,980x = 243,471 × 243,471
  4. Step 4: Simplify right side
    112,980x = 59,278,127,841
  5. Step 5: Solve for x
    x = 59,278,127,841/112,980
  6. Step 6: Final answer
    x = 524,678.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.