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Finding the Third Proportional to 891,165 and 1,391,422.50

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Solution

The third proportional to 891,165 and 1,391,422.50 is: 2,172,500.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,165 : 1,391,422.50 = 1,391,422.50 : x
  2. Step 2: Convert to fraction form
    891,165/1,391,422.50 = 1,391,422.50/x
  3. Step 3: Cross multiply
    891,165x = 1,391,422.50 × 1,391,422.50
  4. Step 4: Simplify right side
    891,165x = 1,936,056,573,506.25
  5. Step 5: Solve for x
    x = 1,936,056,573,506.25/891,165
  6. Step 6: Final answer
    x = 2,172,500.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.