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Finding the Third Proportional to 137,478 and 206,582

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Solution

The third proportional to 137,478 and 206,582 is: 310,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478 : 206,582 = 206,582 : x
  2. Step 2: Convert to fraction form
    137,478/206,582 = 206,582/x
  3. Step 3: Cross multiply
    137,478x = 206,582 × 206,582
  4. Step 4: Simplify right side
    137,478x = 42,676,122,724
  5. Step 5: Solve for x
    x = 42,676,122,724/137,478
  6. Step 6: Final answer
    x = 310,421.47

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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.