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Finding the Third Proportional to 78,367.50 and 176,907.80

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Solution

The third proportional to 78,367.50 and 176,907.80 is: 399,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,367.50 : 176,907.80 = 176,907.80 : x
  2. Step 2: Convert to fraction form
    78,367.50/176,907.80 = 176,907.80/x
  3. Step 3: Cross multiply
    78,367.50x = 176,907.80 × 176,907.80
  4. Step 4: Simplify right side
    78,367.50x = 31,296,368,595.17
  5. Step 5: Solve for x
    x = 31,296,368,595.17/78,367.50
  6. Step 6: Final answer
    x = 399,353.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.