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Finding the Third Proportional to 551,499 and 843,117

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Solution

The third proportional to 551,499 and 843,117 is: 1,288,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,499 : 843,117 = 843,117 : x
  2. Step 2: Convert to fraction form
    551,499/843,117 = 843,117/x
  3. Step 3: Cross multiply
    551,499x = 843,117 × 843,117
  4. Step 4: Simplify right side
    551,499x = 710,846,275,689
  5. Step 5: Solve for x
    x = 710,846,275,689/551,499
  6. Step 6: Final answer
    x = 1,288,934.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.