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Finding the Third Proportional to 305,909 and 572,314

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Solution

The third proportional to 305,909 and 572,314 is: 1,070,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909 : 572,314 = 572,314 : x
  2. Step 2: Convert to fraction form
    305,909/572,314 = 572,314/x
  3. Step 3: Cross multiply
    305,909x = 572,314 × 572,314
  4. Step 4: Simplify right side
    305,909x = 327,543,314,596
  5. Step 5: Solve for x
    x = 327,543,314,596/305,909
  6. Step 6: Final answer
    x = 1,070,721.41

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.