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Finding the Third Proportional to 140,439 and 292,545

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Solution

The third proportional to 140,439 and 292,545 is: 609,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,439 : 292,545 = 292,545 : x
  2. Step 2: Convert to fraction form
    140,439/292,545 = 292,545/x
  3. Step 3: Cross multiply
    140,439x = 292,545 × 292,545
  4. Step 4: Simplify right side
    140,439x = 85,582,577,025
  5. Step 5: Solve for x
    x = 85,582,577,025/140,439
  6. Step 6: Final answer
    x = 609,393.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.