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Finding the Third Proportional to 158,407 and 328,042

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Solution

The third proportional to 158,407 and 328,042 is: 679,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,407 : 328,042 = 328,042 : x
  2. Step 2: Convert to fraction form
    158,407/328,042 = 328,042/x
  3. Step 3: Cross multiply
    158,407x = 328,042 × 328,042
  4. Step 4: Simplify right side
    158,407x = 107,611,553,764
  5. Step 5: Solve for x
    x = 107,611,553,764/158,407
  6. Step 6: Final answer
    x = 679,335.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.