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Finding the Third Proportional to 261,311 and 572,447

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Solution

The third proportional to 261,311 and 572,447 is: 1,254,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,311 : 572,447 = 572,447 : x
  2. Step 2: Convert to fraction form
    261,311/572,447 = 572,447/x
  3. Step 3: Cross multiply
    261,311x = 572,447 × 572,447
  4. Step 4: Simplify right side
    261,311x = 327,695,567,809
  5. Step 5: Solve for x
    x = 327,695,567,809/261,311
  6. Step 6: Final answer
    x = 1,254,044.29

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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.