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Finding the Third Proportional to 153,614 and 206,445

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Solution

The third proportional to 153,614 and 206,445 is: 277,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,614 : 206,445 = 206,445 : x
  2. Step 2: Convert to fraction form
    153,614/206,445 = 206,445/x
  3. Step 3: Cross multiply
    153,614x = 206,445 × 206,445
  4. Step 4: Simplify right side
    153,614x = 42,619,538,025
  5. Step 5: Solve for x
    x = 42,619,538,025/153,614
  6. Step 6: Final answer
    x = 277,445.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.