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Finding the Third Proportional to 39,564 and 70,359.75

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Solution

The third proportional to 39,564 and 70,359.75 is: 125,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,564 : 70,359.75 = 70,359.75 : x
  2. Step 2: Convert to fraction form
    39,564/70,359.75 = 70,359.75/x
  3. Step 3: Cross multiply
    39,564x = 70,359.75 × 70,359.75
  4. Step 4: Simplify right side
    39,564x = 4,950,494,420.06
  5. Step 5: Solve for x
    x = 4,950,494,420.06/39,564
  6. Step 6: Final answer
    x = 125,126.24

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.