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Finding the Third Proportional to 62,410 and 133,747

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Solution

The third proportional to 62,410 and 133,747 is: 286,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,410 : 133,747 = 133,747 : x
  2. Step 2: Convert to fraction form
    62,410/133,747 = 133,747/x
  3. Step 3: Cross multiply
    62,410x = 133,747 × 133,747
  4. Step 4: Simplify right side
    62,410x = 17,888,260,009
  5. Step 5: Solve for x
    x = 17,888,260,009/62,410
  6. Step 6: Final answer
    x = 286,624.90

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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.