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Finding the Third Proportional to 60,566 and 133,080

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Solution

The third proportional to 60,566 and 133,080 is: 292,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,566 : 133,080 = 133,080 : x
  2. Step 2: Convert to fraction form
    60,566/133,080 = 133,080/x
  3. Step 3: Cross multiply
    60,566x = 133,080 × 133,080
  4. Step 4: Simplify right side
    60,566x = 17,710,286,400
  5. Step 5: Solve for x
    x = 17,710,286,400/60,566
  6. Step 6: Final answer
    x = 292,413.01

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Why These Related Problems?

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