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Finding the Third Proportional to 409,959 and 573,264

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Solution

The third proportional to 409,959 and 573,264 is: 801,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,959 : 573,264 = 573,264 : x
  2. Step 2: Convert to fraction form
    409,959/573,264 = 573,264/x
  3. Step 3: Cross multiply
    409,959x = 573,264 × 573,264
  4. Step 4: Simplify right side
    409,959x = 328,631,613,696
  5. Step 5: Solve for x
    x = 328,631,613,696/409,959
  6. Step 6: Final answer
    x = 801,620.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.