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Finding the Third Proportional to 587,790 and 879,403.50

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Solution

The third proportional to 587,790 and 879,403.50 is: 1,315,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,790 : 879,403.50 = 879,403.50 : x
  2. Step 2: Convert to fraction form
    587,790/879,403.50 = 879,403.50/x
  3. Step 3: Cross multiply
    587,790x = 879,403.50 × 879,403.50
  4. Step 4: Simplify right side
    587,790x = 773,350,515,812.25
  5. Step 5: Solve for x
    x = 773,350,515,812.25/587,790
  6. Step 6: Final answer
    x = 1,315,691.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.