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Finding the Third Proportional to 587,693 and 872,899

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Solution

The third proportional to 587,693 and 872,899 is: 1,296,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,693 : 872,899 = 872,899 : x
  2. Step 2: Convert to fraction form
    587,693/872,899 = 872,899/x
  3. Step 3: Cross multiply
    587,693x = 872,899 × 872,899
  4. Step 4: Simplify right side
    587,693x = 761,952,664,201
  5. Step 5: Solve for x
    x = 761,952,664,201/587,693
  6. Step 6: Final answer
    x = 1,296,514.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.