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Finding the Third Proportional to 61,470 and 87,057

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Solution

The third proportional to 61,470 and 87,057 is: 123,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,470 : 87,057 = 87,057 : x
  2. Step 2: Convert to fraction form
    61,470/87,057 = 87,057/x
  3. Step 3: Cross multiply
    61,470x = 87,057 × 87,057
  4. Step 4: Simplify right side
    61,470x = 7,578,921,249
  5. Step 5: Solve for x
    x = 7,578,921,249/61,470
  6. Step 6: Final answer
    x = 123,294.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.