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Finding the Third Proportional to 73,041.75 and 110,920.50

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Solution

The third proportional to 73,041.75 and 110,920.50 is: 168,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,041.75 : 110,920.50 = 110,920.50 : x
  2. Step 2: Convert to fraction form
    73,041.75/110,920.50 = 110,920.50/x
  3. Step 3: Cross multiply
    73,041.75x = 110,920.50 × 110,920.50
  4. Step 4: Simplify right side
    73,041.75x = 12,303,357,320.25
  5. Step 5: Solve for x
    x = 12,303,357,320.25/73,041.75
  6. Step 6: Final answer
    x = 168,442.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.