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Finding the Third Proportional to 133,784 and 292,442

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Solution

The third proportional to 133,784 and 292,442 is: 639,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784 : 292,442 = 292,442 : x
  2. Step 2: Convert to fraction form
    133,784/292,442 = 292,442/x
  3. Step 3: Cross multiply
    133,784x = 292,442 × 292,442
  4. Step 4: Simplify right side
    133,784x = 85,522,323,364
  5. Step 5: Solve for x
    x = 85,522,323,364/133,784
  6. Step 6: Final answer
    x = 639,256.74

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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.