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Finding the Third Proportional to 77,881.50 and 107,178.19

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Solution

The third proportional to 77,881.50 and 107,178.19 is: 147,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.50 : 107,178.19 = 107,178.19 : x
  2. Step 2: Convert to fraction form
    77,881.50/107,178.19 = 107,178.19/x
  3. Step 3: Cross multiply
    77,881.50x = 107,178.19 × 107,178.19
  4. Step 4: Simplify right side
    77,881.50x = 11,487,163,875.79
  5. Step 5: Solve for x
    x = 11,487,163,875.79/77,881.50
  6. Step 6: Final answer
    x = 147,495.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.