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Finding the Third Proportional to 615,367 and 1,329,149

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Solution

The third proportional to 615,367 and 1,329,149 is: 2,870,867.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,367 : 1,329,149 = 1,329,149 : x
  2. Step 2: Convert to fraction form
    615,367/1,329,149 = 1,329,149/x
  3. Step 3: Cross multiply
    615,367x = 1,329,149 × 1,329,149
  4. Step 4: Simplify right side
    615,367x = 1,766,637,064,201
  5. Step 5: Solve for x
    x = 1,766,637,064,201/615,367
  6. Step 6: Final answer
    x = 2,870,867.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.