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Finding the Third Proportional to 63,280 and 136,088

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Solution

The third proportional to 63,280 and 136,088 is: 292,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,280 : 136,088 = 136,088 : x
  2. Step 2: Convert to fraction form
    63,280/136,088 = 136,088/x
  3. Step 3: Cross multiply
    63,280x = 136,088 × 136,088
  4. Step 4: Simplify right side
    63,280x = 18,519,943,744
  5. Step 5: Solve for x
    x = 18,519,943,744/63,280
  6. Step 6: Final answer
    x = 292,666.62

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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.