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Finding the Third Proportional to 515,408 and 725,808

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Solution

The third proportional to 515,408 and 725,808 is: 1,022,097.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,408 : 725,808 = 725,808 : x
  2. Step 2: Convert to fraction form
    515,408/725,808 = 725,808/x
  3. Step 3: Cross multiply
    515,408x = 725,808 × 725,808
  4. Step 4: Simplify right side
    515,408x = 526,797,252,864
  5. Step 5: Solve for x
    x = 526,797,252,864/515,408
  6. Step 6: Final answer
    x = 1,022,097.55

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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.