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Finding the Third Proportional to 74,988.28 and 105,480.84

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Solution

The third proportional to 74,988.28 and 105,480.84 is: 148,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,988.28 : 105,480.84 = 105,480.84 : x
  2. Step 2: Convert to fraction form
    74,988.28/105,480.84 = 105,480.84/x
  3. Step 3: Cross multiply
    74,988.28x = 105,480.84 × 105,480.84
  4. Step 4: Simplify right side
    74,988.28x = 11,126,208,398.21
  5. Step 5: Solve for x
    x = 11,126,208,398.21/74,988.28
  6. Step 6: Final answer
    x = 148,372.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.