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Finding the Third Proportional to 78,371.50 and 119,392.50

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Solution

The third proportional to 78,371.50 and 119,392.50 is: 181,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371.50 : 119,392.50 = 119,392.50 : x
  2. Step 2: Convert to fraction form
    78,371.50/119,392.50 = 119,392.50/x
  3. Step 3: Cross multiply
    78,371.50x = 119,392.50 × 119,392.50
  4. Step 4: Simplify right side
    78,371.50x = 14,254,569,056.25
  5. Step 5: Solve for x
    x = 14,254,569,056.25/78,371.50
  6. Step 6: Final answer
    x = 181,884.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.