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Finding the Third Proportional to 74,040 and 105,521

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Solution

The third proportional to 74,040 and 105,521 is: 150,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,040 : 105,521 = 105,521 : x
  2. Step 2: Convert to fraction form
    74,040/105,521 = 105,521/x
  3. Step 3: Cross multiply
    74,040x = 105,521 × 105,521
  4. Step 4: Simplify right side
    74,040x = 11,134,681,441
  5. Step 5: Solve for x
    x = 11,134,681,441/74,040
  6. Step 6: Final answer
    x = 150,387.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.