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Finding the Third Proportional to 60,553 and 133,053.50

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Solution

The third proportional to 60,553 and 133,053.50 is: 292,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,553 : 133,053.50 = 133,053.50 : x
  2. Step 2: Convert to fraction form
    60,553/133,053.50 = 133,053.50/x
  3. Step 3: Cross multiply
    60,553x = 133,053.50 × 133,053.50
  4. Step 4: Simplify right side
    60,553x = 17,703,233,862.25
  5. Step 5: Solve for x
    x = 17,703,233,862.25/60,553
  6. Step 6: Final answer
    x = 292,359.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.