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Finding the Third Proportional to 153,418 and 328,157

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Solution

The third proportional to 153,418 and 328,157 is: 701,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,418 : 328,157 = 328,157 : x
  2. Step 2: Convert to fraction form
    153,418/328,157 = 328,157/x
  3. Step 3: Cross multiply
    153,418x = 328,157 × 328,157
  4. Step 4: Simplify right side
    153,418x = 107,687,016,649
  5. Step 5: Solve for x
    x = 107,687,016,649/153,418
  6. Step 6: Final answer
    x = 701,919.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.