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Finding the Third Proportional to 418,752 and 920,448

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Solution

The third proportional to 418,752 and 920,448 is: 2,023,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,752 : 920,448 = 920,448 : x
  2. Step 2: Convert to fraction form
    418,752/920,448 = 920,448/x
  3. Step 3: Cross multiply
    418,752x = 920,448 × 920,448
  4. Step 4: Simplify right side
    418,752x = 847,224,520,704
  5. Step 5: Solve for x
    x = 847,224,520,704/418,752
  6. Step 6: Final answer
    x = 2,023,213.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.