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Finding the Third Proportional to 39,988 and 87,509

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Solution

The third proportional to 39,988 and 87,509 is: 191,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,988 : 87,509 = 87,509 : x
  2. Step 2: Convert to fraction form
    39,988/87,509 = 87,509/x
  3. Step 3: Cross multiply
    39,988x = 87,509 × 87,509
  4. Step 4: Simplify right side
    39,988x = 7,657,825,081
  5. Step 5: Solve for x
    x = 7,657,825,081/39,988
  6. Step 6: Final answer
    x = 191,503.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.