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Finding the Third Proportional to 391,252 and 857,510

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Solution

The third proportional to 391,252 and 857,510 is: 1,879,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,252 : 857,510 = 857,510 : x
  2. Step 2: Convert to fraction form
    391,252/857,510 = 857,510/x
  3. Step 3: Cross multiply
    391,252x = 857,510 × 857,510
  4. Step 4: Simplify right side
    391,252x = 735,323,400,100
  5. Step 5: Solve for x
    x = 735,323,400,100/391,252
  6. Step 6: Final answer
    x = 1,879,411.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.