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Finding the Third Proportional to 526,920 and 817,412

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Solution

The third proportional to 526,920 and 817,412 is: 1,268,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,920 : 817,412 = 817,412 : x
  2. Step 2: Convert to fraction form
    526,920/817,412 = 817,412/x
  3. Step 3: Cross multiply
    526,920x = 817,412 × 817,412
  4. Step 4: Simplify right side
    526,920x = 668,162,377,744
  5. Step 5: Solve for x
    x = 668,162,377,744/526,920
  6. Step 6: Final answer
    x = 1,268,052.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.