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Finding the Third Proportional to 74,689.50 and 161,265

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Solution

The third proportional to 74,689.50 and 161,265 is: 348,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,689.50 : 161,265 = 161,265 : x
  2. Step 2: Convert to fraction form
    74,689.50/161,265 = 161,265/x
  3. Step 3: Cross multiply
    74,689.50x = 161,265 × 161,265
  4. Step 4: Simplify right side
    74,689.50x = 26,006,400,225
  5. Step 5: Solve for x
    x = 26,006,400,225/74,689.50
  6. Step 6: Final answer
    x = 348,193.52

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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.