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Finding the Third Proportional to 403,920 and 849,624

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Solution

The third proportional to 403,920 and 849,624 is: 1,787,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,920 : 849,624 = 849,624 : x
  2. Step 2: Convert to fraction form
    403,920/849,624 = 849,624/x
  3. Step 3: Cross multiply
    403,920x = 849,624 × 849,624
  4. Step 4: Simplify right side
    403,920x = 721,860,941,376
  5. Step 5: Solve for x
    x = 721,860,941,376/403,920
  6. Step 6: Final answer
    x = 1,787,138.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.