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Finding the Third Proportional to 255,442 and 386,700

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Solution

The third proportional to 255,442 and 386,700 is: 585,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,442 : 386,700 = 386,700 : x
  2. Step 2: Convert to fraction form
    255,442/386,700 = 386,700/x
  3. Step 3: Cross multiply
    255,442x = 386,700 × 386,700
  4. Step 4: Simplify right side
    255,442x = 149,536,890,000
  5. Step 5: Solve for x
    x = 149,536,890,000/255,442
  6. Step 6: Final answer
    x = 585,404.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.