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Finding the Third Proportional to 424,808 and 918,448

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Solution

The third proportional to 424,808 and 918,448 is: 1,985,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,808 : 918,448 = 918,448 : x
  2. Step 2: Convert to fraction form
    424,808/918,448 = 918,448/x
  3. Step 3: Cross multiply
    424,808x = 918,448 × 918,448
  4. Step 4: Simplify right side
    424,808x = 843,546,728,704
  5. Step 5: Solve for x
    x = 843,546,728,704/424,808
  6. Step 6: Final answer
    x = 1,985,712.91

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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.