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Finding the Third Proportional to 485,514 and 725,841

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Solution

The third proportional to 485,514 and 725,841 is: 1,085,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,514 : 725,841 = 725,841 : x
  2. Step 2: Convert to fraction form
    485,514/725,841 = 725,841/x
  3. Step 3: Cross multiply
    485,514x = 725,841 × 725,841
  4. Step 4: Simplify right side
    485,514x = 526,845,157,281
  5. Step 5: Solve for x
    x = 526,845,157,281/485,514
  6. Step 6: Final answer
    x = 1,085,128.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.