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Finding the Third Proportional to 402,440 and 844,048

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Solution

The third proportional to 402,440 and 844,048 is: 1,770,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,440 : 844,048 = 844,048 : x
  2. Step 2: Convert to fraction form
    402,440/844,048 = 844,048/x
  3. Step 3: Cross multiply
    402,440x = 844,048 × 844,048
  4. Step 4: Simplify right side
    402,440x = 712,417,026,304
  5. Step 5: Solve for x
    x = 712,417,026,304/402,440
  6. Step 6: Final answer
    x = 1,770,244.08

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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.