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Finding the Third Proportional to 515,416 and 725,820

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Solution

The third proportional to 515,416 and 725,820 is: 1,022,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,416 : 725,820 = 725,820 : x
  2. Step 2: Convert to fraction form
    515,416/725,820 = 725,820/x
  3. Step 3: Cross multiply
    515,416x = 725,820 × 725,820
  4. Step 4: Simplify right side
    515,416x = 526,814,672,400
  5. Step 5: Solve for x
    x = 526,814,672,400/515,416
  6. Step 6: Final answer
    x = 1,022,115.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.