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Finding the Third Proportional to 153,788 and 206,931

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Solution

The third proportional to 153,788 and 206,931 is: 278,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,788 : 206,931 = 206,931 : x
  2. Step 2: Convert to fraction form
    153,788/206,931 = 206,931/x
  3. Step 3: Cross multiply
    153,788x = 206,931 × 206,931
  4. Step 4: Simplify right side
    153,788x = 42,820,438,761
  5. Step 5: Solve for x
    x = 42,820,438,761/153,788
  6. Step 6: Final answer
    x = 278,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.