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Finding the Third Proportional to 71,351 and 109,709

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Solution

The third proportional to 71,351 and 109,709 is: 168,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,351 : 109,709 = 109,709 : x
  2. Step 2: Convert to fraction form
    71,351/109,709 = 109,709/x
  3. Step 3: Cross multiply
    71,351x = 109,709 × 109,709
  4. Step 4: Simplify right side
    71,351x = 12,036,064,681
  5. Step 5: Solve for x
    x = 12,036,064,681/71,351
  6. Step 6: Final answer
    x = 168,688.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.