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Finding the Third Proportional to 51,719.13 and 78,270.68

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Solution

The third proportional to 51,719.13 and 78,270.68 is: 118,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,719.13 : 78,270.68 = 78,270.68 : x
  2. Step 2: Convert to fraction form
    51,719.13/78,270.68 = 78,270.68/x
  3. Step 3: Cross multiply
    51,719.13x = 78,270.68 × 78,270.68
  4. Step 4: Simplify right side
    51,719.13x = 6,126,299,298.74
  5. Step 5: Solve for x
    x = 6,126,299,298.74/51,719.13
  6. Step 6: Final answer
    x = 118,453.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.