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Finding the Third Proportional to 39,663 and 61,378.50

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Solution

The third proportional to 39,663 and 61,378.50 is: 94,983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,663 : 61,378.50 = 61,378.50 : x
  2. Step 2: Convert to fraction form
    39,663/61,378.50 = 61,378.50/x
  3. Step 3: Cross multiply
    39,663x = 61,378.50 × 61,378.50
  4. Step 4: Simplify right side
    39,663x = 3,767,320,262.25
  5. Step 5: Solve for x
    x = 3,767,320,262.25/39,663
  6. Step 6: Final answer
    x = 94,983.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.