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Finding the Third Proportional to 135,554 and 207,363

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Solution

The third proportional to 135,554 and 207,363 is: 317,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,554 : 207,363 = 207,363 : x
  2. Step 2: Convert to fraction form
    135,554/207,363 = 207,363/x
  3. Step 3: Cross multiply
    135,554x = 207,363 × 207,363
  4. Step 4: Simplify right side
    135,554x = 42,999,413,769
  5. Step 5: Solve for x
    x = 42,999,413,769/135,554
  6. Step 6: Final answer
    x = 317,212.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.