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Finding the Third Proportional to 65,720.74 and 142,974.49

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Solution

The third proportional to 65,720.74 and 142,974.49 is: 311,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720.74 : 142,974.49 = 142,974.49 : x
  2. Step 2: Convert to fraction form
    65,720.74/142,974.49 = 142,974.49/x
  3. Step 3: Cross multiply
    65,720.74x = 142,974.49 × 142,974.49
  4. Step 4: Simplify right side
    65,720.74x = 20,441,705,416.27
  5. Step 5: Solve for x
    x = 20,441,705,416.27/65,720.74
  6. Step 6: Final answer
    x = 311,038.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.