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Finding the Third Proportional to 54,288 and 86,358

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Solution

The third proportional to 54,288 and 86,358 is: 137,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,288 : 86,358 = 86,358 : x
  2. Step 2: Convert to fraction form
    54,288/86,358 = 86,358/x
  3. Step 3: Cross multiply
    54,288x = 86,358 × 86,358
  4. Step 4: Simplify right side
    54,288x = 7,457,704,164
  5. Step 5: Solve for x
    x = 7,457,704,164/54,288
  6. Step 6: Final answer
    x = 137,372.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.