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Finding the Third Proportional to 74,139.75 and 163,039.50

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Solution

The third proportional to 74,139.75 and 163,039.50 is: 358,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,139.75 : 163,039.50 = 163,039.50 : x
  2. Step 2: Convert to fraction form
    74,139.75/163,039.50 = 163,039.50/x
  3. Step 3: Cross multiply
    74,139.75x = 163,039.50 × 163,039.50
  4. Step 4: Simplify right side
    74,139.75x = 26,581,878,560.25
  5. Step 5: Solve for x
    x = 26,581,878,560.25/74,139.75
  6. Step 6: Final answer
    x = 358,537.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.