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Finding the Third Proportional to 136,381 and 291,717

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Solution

The third proportional to 136,381 and 291,717 is: 623,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,381 : 291,717 = 291,717 : x
  2. Step 2: Convert to fraction form
    136,381/291,717 = 291,717/x
  3. Step 3: Cross multiply
    136,381x = 291,717 × 291,717
  4. Step 4: Simplify right side
    136,381x = 85,098,808,089
  5. Step 5: Solve for x
    x = 85,098,808,089/136,381
  6. Step 6: Final answer
    x = 623,978.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.