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Finding the Third Proportional to 831,864 and 1,287,518

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Solution

The third proportional to 831,864 and 1,287,518 is: 1,992,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,864 : 1,287,518 = 1,287,518 : x
  2. Step 2: Convert to fraction form
    831,864/1,287,518 = 1,287,518/x
  3. Step 3: Cross multiply
    831,864x = 1,287,518 × 1,287,518
  4. Step 4: Simplify right side
    831,864x = 1,657,702,600,324
  5. Step 5: Solve for x
    x = 1,657,702,600,324/831,864
  6. Step 6: Final answer
    x = 1,992,756.75

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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.