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Finding the Third Proportional to 142,539 and 307,677

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Solution

The third proportional to 142,539 and 307,677 is: 664,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,539 : 307,677 = 307,677 : x
  2. Step 2: Convert to fraction form
    142,539/307,677 = 307,677/x
  3. Step 3: Cross multiply
    142,539x = 307,677 × 307,677
  4. Step 4: Simplify right side
    142,539x = 94,665,136,329
  5. Step 5: Solve for x
    x = 94,665,136,329/142,539
  6. Step 6: Final answer
    x = 664,134.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.