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Finding the Third Proportional to 738,712 and 1,591,400

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Solution

The third proportional to 738,712 and 1,591,400 is: 3,428,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,712 : 1,591,400 = 1,591,400 : x
  2. Step 2: Convert to fraction form
    738,712/1,591,400 = 1,591,400/x
  3. Step 3: Cross multiply
    738,712x = 1,591,400 × 1,591,400
  4. Step 4: Simplify right side
    738,712x = 2,532,553,960,000
  5. Step 5: Solve for x
    x = 2,532,553,960,000/738,712
  6. Step 6: Final answer
    x = 3,428,337.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.