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Finding the Third Proportional to 77,152.50 and 102,880.13

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Solution

The third proportional to 77,152.50 and 102,880.13 is: 137,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.50 : 102,880.13 = 102,880.13 : x
  2. Step 2: Convert to fraction form
    77,152.50/102,880.13 = 102,880.13/x
  3. Step 3: Cross multiply
    77,152.50x = 102,880.13 × 102,880.13
  4. Step 4: Simplify right side
    77,152.50x = 10,584,320,120.02
  5. Step 5: Solve for x
    x = 10,584,320,120.02/77,152.50
  6. Step 6: Final answer
    x = 137,187.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.