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Finding the Third Proportional to 309,712.78 and 574,366.78

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Solution

The third proportional to 309,712.78 and 574,366.78 is: 1,065,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,712.78 : 574,366.78 = 574,366.78 : x
  2. Step 2: Convert to fraction form
    309,712.78/574,366.78 = 574,366.78/x
  3. Step 3: Cross multiply
    309,712.78x = 574,366.78 × 574,366.78
  4. Step 4: Simplify right side
    309,712.78x = 329,897,199,403.49
  5. Step 5: Solve for x
    x = 329,897,199,403.49/309,712.78
  6. Step 6: Final answer
    x = 1,065,171.41

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.