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Finding the Third Proportional to 423,106 and 915,876

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Solution

The third proportional to 423,106 and 915,876 is: 1,982,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,106 : 915,876 = 915,876 : x
  2. Step 2: Convert to fraction form
    423,106/915,876 = 915,876/x
  3. Step 3: Cross multiply
    423,106x = 915,876 × 915,876
  4. Step 4: Simplify right side
    423,106x = 838,828,847,376
  5. Step 5: Solve for x
    x = 838,828,847,376/423,106
  6. Step 6: Final answer
    x = 1,982,550.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.