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Finding the Third Proportional to 272,412 and 577,588

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Solution

The third proportional to 272,412 and 577,588 is: 1,224,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,412 : 577,588 = 577,588 : x
  2. Step 2: Convert to fraction form
    272,412/577,588 = 577,588/x
  3. Step 3: Cross multiply
    272,412x = 577,588 × 577,588
  4. Step 4: Simplify right side
    272,412x = 333,607,897,744
  5. Step 5: Solve for x
    x = 333,607,897,744/272,412
  6. Step 6: Final answer
    x = 1,224,644.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.