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Finding the Third Proportional to 299,384 and 645,424

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Solution

The third proportional to 299,384 and 645,424 is: 1,391,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,384 : 645,424 = 645,424 : x
  2. Step 2: Convert to fraction form
    299,384/645,424 = 645,424/x
  3. Step 3: Cross multiply
    299,384x = 645,424 × 645,424
  4. Step 4: Simplify right side
    299,384x = 416,572,139,776
  5. Step 5: Solve for x
    x = 416,572,139,776/299,384
  6. Step 6: Final answer
    x = 1,391,430.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.