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Finding the Third Proportional to 132,386 and 292,420

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Solution

The third proportional to 132,386 and 292,420 is: 645,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,386 : 292,420 = 292,420 : x
  2. Step 2: Convert to fraction form
    132,386/292,420 = 292,420/x
  3. Step 3: Cross multiply
    132,386x = 292,420 × 292,420
  4. Step 4: Simplify right side
    132,386x = 85,509,456,400
  5. Step 5: Solve for x
    x = 85,509,456,400/132,386
  6. Step 6: Final answer
    x = 645,910.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.