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Finding the Third Proportional to 155,429 and 247,157

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Solution

The third proportional to 155,429 and 247,157 is: 393,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,429 : 247,157 = 247,157 : x
  2. Step 2: Convert to fraction form
    155,429/247,157 = 247,157/x
  3. Step 3: Cross multiply
    155,429x = 247,157 × 247,157
  4. Step 4: Simplify right side
    155,429x = 61,086,582,649
  5. Step 5: Solve for x
    x = 61,086,582,649/155,429
  6. Step 6: Final answer
    x = 393,019.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.