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Finding the Third Proportional to 709,672 and 1,538,720

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Solution

The third proportional to 709,672 and 1,538,720 is: 3,336,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,672 : 1,538,720 = 1,538,720 : x
  2. Step 2: Convert to fraction form
    709,672/1,538,720 = 1,538,720/x
  3. Step 3: Cross multiply
    709,672x = 1,538,720 × 1,538,720
  4. Step 4: Simplify right side
    709,672x = 2,367,659,238,400
  5. Step 5: Solve for x
    x = 2,367,659,238,400/709,672
  6. Step 6: Final answer
    x = 3,336,272.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.