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Finding the Third Proportional to 587,499 and 879,021

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Solution

The third proportional to 587,499 and 879,021 is: 1,315,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,499 : 879,021 = 879,021 : x
  2. Step 2: Convert to fraction form
    587,499/879,021 = 879,021/x
  3. Step 3: Cross multiply
    587,499x = 879,021 × 879,021
  4. Step 4: Simplify right side
    587,499x = 772,677,918,441
  5. Step 5: Solve for x
    x = 772,677,918,441/587,499
  6. Step 6: Final answer
    x = 1,315,198.70

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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.