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Finding the Third Proportional to 73,045.13 and 110,047.50

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Solution

The third proportional to 73,045.13 and 110,047.50 is: 165,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045.13 : 110,047.50 = 110,047.50 : x
  2. Step 2: Convert to fraction form
    73,045.13/110,047.50 = 110,047.50/x
  3. Step 3: Cross multiply
    73,045.13x = 110,047.50 × 110,047.50
  4. Step 4: Simplify right side
    73,045.13x = 12,110,452,256.25
  5. Step 5: Solve for x
    x = 12,110,452,256.25/73,045.13
  6. Step 6: Final answer
    x = 165,794.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.