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Finding the Third Proportional to 306,468 and 649,422

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Solution

The third proportional to 306,468 and 649,422 is: 1,376,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,468 : 649,422 = 649,422 : x
  2. Step 2: Convert to fraction form
    306,468/649,422 = 649,422/x
  3. Step 3: Cross multiply
    306,468x = 649,422 × 649,422
  4. Step 4: Simplify right side
    306,468x = 421,748,934,084
  5. Step 5: Solve for x
    x = 421,748,934,084/306,468
  6. Step 6: Final answer
    x = 1,376,159.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.