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Finding the Third Proportional to 530,822 and 844,320

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Solution

The third proportional to 530,822 and 844,320 is: 1,342,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,822 : 844,320 = 844,320 : x
  2. Step 2: Convert to fraction form
    530,822/844,320 = 844,320/x
  3. Step 3: Cross multiply
    530,822x = 844,320 × 844,320
  4. Step 4: Simplify right side
    530,822x = 712,876,262,400
  5. Step 5: Solve for x
    x = 712,876,262,400/530,822
  6. Step 6: Final answer
    x = 1,342,966.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.