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Finding the Third Proportional to 74,000 and 109,040

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Solution

The third proportional to 74,000 and 109,040 is: 160,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000 : 109,040 = 109,040 : x
  2. Step 2: Convert to fraction form
    74,000/109,040 = 109,040/x
  3. Step 3: Cross multiply
    74,000x = 109,040 × 109,040
  4. Step 4: Simplify right side
    74,000x = 11,889,721,600
  5. Step 5: Solve for x
    x = 11,889,721,600/74,000
  6. Step 6: Final answer
    x = 160,671.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.