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Finding the Third Proportional to 136,743 and 207,000

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Solution

The third proportional to 136,743 and 207,000 is: 313,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,743 : 207,000 = 207,000 : x
  2. Step 2: Convert to fraction form
    136,743/207,000 = 207,000/x
  3. Step 3: Cross multiply
    136,743x = 207,000 × 207,000
  4. Step 4: Simplify right side
    136,743x = 42,849,000,000
  5. Step 5: Solve for x
    x = 42,849,000,000/136,743
  6. Step 6: Final answer
    x = 313,354.25

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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.