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Finding the Third Proportional to 418,455 and 915,156

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Solution

The third proportional to 418,455 and 915,156 is: 2,001,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,455 : 915,156 = 915,156 : x
  2. Step 2: Convert to fraction form
    418,455/915,156 = 915,156/x
  3. Step 3: Cross multiply
    418,455x = 915,156 × 915,156
  4. Step 4: Simplify right side
    418,455x = 837,510,504,336
  5. Step 5: Solve for x
    x = 837,510,504,336/418,455
  6. Step 6: Final answer
    x = 2,001,435.05

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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.