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Finding the Third Proportional to 71,424 and 136,368

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Solution

The third proportional to 71,424 and 136,368 is: 260,363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,424 : 136,368 = 136,368 : x
  2. Step 2: Convert to fraction form
    71,424/136,368 = 136,368/x
  3. Step 3: Cross multiply
    71,424x = 136,368 × 136,368
  4. Step 4: Simplify right side
    71,424x = 18,596,231,424
  5. Step 5: Solve for x
    x = 18,596,231,424/71,424
  6. Step 6: Final answer
    x = 260,363.90

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.