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Finding the Third Proportional to 39,000.23 and 55,731.80

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Solution

The third proportional to 39,000.23 and 55,731.80 is: 79,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,000.23 : 55,731.80 = 55,731.80 : x
  2. Step 2: Convert to fraction form
    39,000.23/55,731.80 = 55,731.80/x
  3. Step 3: Cross multiply
    39,000.23x = 55,731.80 × 55,731.80
  4. Step 4: Simplify right side
    39,000.23x = 3,106,033,182.92
  5. Step 5: Solve for x
    x = 3,106,033,182.92/39,000.23
  6. Step 6: Final answer
    x = 79,641.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.