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Finding the Third Proportional to 133,785 and 292,446

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Solution

The third proportional to 133,785 and 292,446 is: 639,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,785 : 292,446 = 292,446 : x
  2. Step 2: Convert to fraction form
    133,785/292,446 = 292,446/x
  3. Step 3: Cross multiply
    133,785x = 292,446 × 292,446
  4. Step 4: Simplify right side
    133,785x = 85,524,662,916
  5. Step 5: Solve for x
    x = 85,524,662,916/133,785
  6. Step 6: Final answer
    x = 639,269.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.