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Finding the Third Proportional to 157,831 and 245,312

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Solution

The third proportional to 157,831 and 245,312 is: 381,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,831 : 245,312 = 245,312 : x
  2. Step 2: Convert to fraction form
    157,831/245,312 = 245,312/x
  3. Step 3: Cross multiply
    157,831x = 245,312 × 245,312
  4. Step 4: Simplify right side
    157,831x = 60,177,977,344
  5. Step 5: Solve for x
    x = 60,177,977,344/157,831
  6. Step 6: Final answer
    x = 381,281.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.