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Finding the Third Proportional to 272,407 and 577,583

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Solution

The third proportional to 272,407 and 577,583 is: 1,224,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,407 : 577,583 = 577,583 : x
  2. Step 2: Convert to fraction form
    272,407/577,583 = 577,583/x
  3. Step 3: Cross multiply
    272,407x = 577,583 × 577,583
  4. Step 4: Simplify right side
    272,407x = 333,602,121,889
  5. Step 5: Solve for x
    x = 333,602,121,889/272,407
  6. Step 6: Final answer
    x = 1,224,645.92

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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.