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Finding the Third Proportional to 831,708 and 1,287,306

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Solution

The third proportional to 831,708 and 1,287,306 is: 1,992,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,708 : 1,287,306 = 1,287,306 : x
  2. Step 2: Convert to fraction form
    831,708/1,287,306 = 1,287,306/x
  3. Step 3: Cross multiply
    831,708x = 1,287,306 × 1,287,306
  4. Step 4: Simplify right side
    831,708x = 1,657,156,737,636
  5. Step 5: Solve for x
    x = 1,657,156,737,636/831,708
  6. Step 6: Final answer
    x = 1,992,474.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.