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Finding the Third Proportional to 51,124.75 and 78,967.13

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Solution

The third proportional to 51,124.75 and 78,967.13 is: 121,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,124.75 : 78,967.13 = 78,967.13 : x
  2. Step 2: Convert to fraction form
    51,124.75/78,967.13 = 78,967.13/x
  3. Step 3: Cross multiply
    51,124.75x = 78,967.13 × 78,967.13
  4. Step 4: Simplify right side
    51,124.75x = 6,235,806,830.77
  5. Step 5: Solve for x
    x = 6,235,806,830.77/51,124.75
  6. Step 6: Final answer
    x = 121,972.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.