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Finding the Third Proportional to 455,687 and 732,131

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Solution

The third proportional to 455,687 and 732,131 is: 1,176,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,687 : 732,131 = 732,131 : x
  2. Step 2: Convert to fraction form
    455,687/732,131 = 732,131/x
  3. Step 3: Cross multiply
    455,687x = 732,131 × 732,131
  4. Step 4: Simplify right side
    455,687x = 536,015,801,161
  5. Step 5: Solve for x
    x = 536,015,801,161/455,687
  6. Step 6: Final answer
    x = 1,176,280.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.