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Finding the Third Proportional to 138,594 and 207,582

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Solution

The third proportional to 138,594 and 207,582 is: 310,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,594 : 207,582 = 207,582 : x
  2. Step 2: Convert to fraction form
    138,594/207,582 = 207,582/x
  3. Step 3: Cross multiply
    138,594x = 207,582 × 207,582
  4. Step 4: Simplify right side
    138,594x = 43,090,286,724
  5. Step 5: Solve for x
    x = 43,090,286,724/138,594
  6. Step 6: Final answer
    x = 310,910.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.