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Finding the Third Proportional to 572,189 and 865,647.75

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Solution

The third proportional to 572,189 and 865,647.75 is: 1,309,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,189 : 865,647.75 = 865,647.75 : x
  2. Step 2: Convert to fraction form
    572,189/865,647.75 = 865,647.75/x
  3. Step 3: Cross multiply
    572,189x = 865,647.75 × 865,647.75
  4. Step 4: Simplify right side
    572,189x = 749,346,027,080.06
  5. Step 5: Solve for x
    x = 749,346,027,080.06/572,189
  6. Step 6: Final answer
    x = 1,309,612.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.