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Finding the Third Proportional to 158,405 and 328,038

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Solution

The third proportional to 158,405 and 328,038 is: 679,327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,405 : 328,038 = 328,038 : x
  2. Step 2: Convert to fraction form
    158,405/328,038 = 328,038/x
  3. Step 3: Cross multiply
    158,405x = 328,038 × 328,038
  4. Step 4: Simplify right side
    158,405x = 107,608,929,444
  5. Step 5: Solve for x
    x = 107,608,929,444/158,405
  6. Step 6: Final answer
    x = 679,327.86

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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.