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Finding the Third Proportional to 417,228 and 915,645

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Solution

The third proportional to 417,228 and 915,645 is: 2,009,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,228 : 915,645 = 915,645 : x
  2. Step 2: Convert to fraction form
    417,228/915,645 = 915,645/x
  3. Step 3: Cross multiply
    417,228x = 915,645 × 915,645
  4. Step 4: Simplify right side
    417,228x = 838,405,766,025
  5. Step 5: Solve for x
    x = 838,405,766,025/417,228
  6. Step 6: Final answer
    x = 2,009,466.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.