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Finding the Third Proportional to 77,984.50 and 108,655.50

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Solution

The third proportional to 77,984.50 and 108,655.50 is: 151,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,984.50 : 108,655.50 = 108,655.50 : x
  2. Step 2: Convert to fraction form
    77,984.50/108,655.50 = 108,655.50/x
  3. Step 3: Cross multiply
    77,984.50x = 108,655.50 × 108,655.50
  4. Step 4: Simplify right side
    77,984.50x = 11,806,017,680.25
  5. Step 5: Solve for x
    x = 11,806,017,680.25/77,984.50
  6. Step 6: Final answer
    x = 151,389.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.