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Finding the Third Proportional to 296,987 and 393,808

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Solution

The third proportional to 296,987 and 393,808 is: 522,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,987 : 393,808 = 393,808 : x
  2. Step 2: Convert to fraction form
    296,987/393,808 = 393,808/x
  3. Step 3: Cross multiply
    296,987x = 393,808 × 393,808
  4. Step 4: Simplify right side
    296,987x = 155,084,740,864
  5. Step 5: Solve for x
    x = 155,084,740,864/296,987
  6. Step 6: Final answer
    x = 522,193.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.