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Finding the Third Proportional to 418,446 and 915,138

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Solution

The third proportional to 418,446 and 915,138 is: 2,001,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,446 : 915,138 = 915,138 : x
  2. Step 2: Convert to fraction form
    418,446/915,138 = 915,138/x
  3. Step 3: Cross multiply
    418,446x = 915,138 × 915,138
  4. Step 4: Simplify right side
    418,446x = 837,477,559,044
  5. Step 5: Solve for x
    x = 837,477,559,044/418,446
  6. Step 6: Final answer
    x = 2,001,399.37

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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.