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Finding the Third Proportional to 78,537.29 and 169,530.41

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Solution

The third proportional to 78,537.29 and 169,530.41 is: 365,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,537.29 : 169,530.41 = 169,530.41 : x
  2. Step 2: Convert to fraction form
    78,537.29/169,530.41 = 169,530.41/x
  3. Step 3: Cross multiply
    78,537.29x = 169,530.41 × 169,530.41
  4. Step 4: Simplify right side
    78,537.29x = 28,740,559,719.41
  5. Step 5: Solve for x
    x = 28,740,559,719.41/78,537.29
  6. Step 6: Final answer
    x = 365,947.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.