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Finding the Third Proportional to 39,237.75 and 55,280

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Solution

The third proportional to 39,237.75 and 55,280 is: 77,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,237.75 : 55,280 = 55,280 : x
  2. Step 2: Convert to fraction form
    39,237.75/55,280 = 55,280/x
  3. Step 3: Cross multiply
    39,237.75x = 55,280 × 55,280
  4. Step 4: Simplify right side
    39,237.75x = 3,055,878,400
  5. Step 5: Solve for x
    x = 3,055,878,400/39,237.75
  6. Step 6: Final answer
    x = 77,881.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.