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Finding the Third Proportional to 153,659 and 207,142

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Solution

The third proportional to 153,659 and 207,142 is: 279,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,659 : 207,142 = 207,142 : x
  2. Step 2: Convert to fraction form
    153,659/207,142 = 207,142/x
  3. Step 3: Cross multiply
    153,659x = 207,142 × 207,142
  4. Step 4: Simplify right side
    153,659x = 42,907,808,164
  5. Step 5: Solve for x
    x = 42,907,808,164/153,659
  6. Step 6: Final answer
    x = 279,240.45

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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.