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Finding the Third Proportional to 138,552 and 209,784

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Solution

The third proportional to 138,552 and 209,784 is: 317,637.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,552 : 209,784 = 209,784 : x
  2. Step 2: Convert to fraction form
    138,552/209,784 = 209,784/x
  3. Step 3: Cross multiply
    138,552x = 209,784 × 209,784
  4. Step 4: Simplify right side
    138,552x = 44,009,326,656
  5. Step 5: Solve for x
    x = 44,009,326,656/138,552
  6. Step 6: Final answer
    x = 317,637.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.