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Finding the Third Proportional to 261,309 and 572,443

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Solution

The third proportional to 261,309 and 572,443 is: 1,254,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,309 : 572,443 = 572,443 : x
  2. Step 2: Convert to fraction form
    261,309/572,443 = 572,443/x
  3. Step 3: Cross multiply
    261,309x = 572,443 × 572,443
  4. Step 4: Simplify right side
    261,309x = 327,690,988,249
  5. Step 5: Solve for x
    x = 327,690,988,249/261,309
  6. Step 6: Final answer
    x = 1,254,036.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.