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Finding the Third Proportional to 60,998 and 129,772

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Solution

The third proportional to 60,998 and 129,772 is: 276,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,998 : 129,772 = 129,772 : x
  2. Step 2: Convert to fraction form
    60,998/129,772 = 129,772/x
  3. Step 3: Cross multiply
    60,998x = 129,772 × 129,772
  4. Step 4: Simplify right side
    60,998x = 16,840,771,984
  5. Step 5: Solve for x
    x = 16,840,771,984/60,998
  6. Step 6: Final answer
    x = 276,087.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.