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Finding the Third Proportional to 390,976 and 609,808

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Solution

The third proportional to 390,976 and 609,808 is: 951,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,976 : 609,808 = 609,808 : x
  2. Step 2: Convert to fraction form
    390,976/609,808 = 609,808/x
  3. Step 3: Cross multiply
    390,976x = 609,808 × 609,808
  4. Step 4: Simplify right side
    390,976x = 371,865,796,864
  5. Step 5: Solve for x
    x = 371,865,796,864/390,976
  6. Step 6: Final answer
    x = 951,121.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.