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Finding the Third Proportional to 73,040 and 112,785

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Solution

The third proportional to 73,040 and 112,785 is: 174,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,040 : 112,785 = 112,785 : x
  2. Step 2: Convert to fraction form
    73,040/112,785 = 112,785/x
  3. Step 3: Cross multiply
    73,040x = 112,785 × 112,785
  4. Step 4: Simplify right side
    73,040x = 12,720,456,225
  5. Step 5: Solve for x
    x = 12,720,456,225/73,040
  6. Step 6: Final answer
    x = 174,157.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.