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Finding the Third Proportional to 61,782 and 133,090

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Solution

The third proportional to 61,782 and 133,090 is: 286,700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782 : 133,090 = 133,090 : x
  2. Step 2: Convert to fraction form
    61,782/133,090 = 133,090/x
  3. Step 3: Cross multiply
    61,782x = 133,090 × 133,090
  4. Step 4: Simplify right side
    61,782x = 17,712,948,100
  5. Step 5: Solve for x
    x = 17,712,948,100/61,782
  6. Step 6: Final answer
    x = 286,700.79

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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.