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Finding the Third Proportional to 77,563.50 and 119,859.50

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Solution

The third proportional to 77,563.50 and 119,859.50 is: 185,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,563.50 : 119,859.50 = 119,859.50 : x
  2. Step 2: Convert to fraction form
    77,563.50/119,859.50 = 119,859.50/x
  3. Step 3: Cross multiply
    77,563.50x = 119,859.50 × 119,859.50
  4. Step 4: Simplify right side
    77,563.50x = 14,366,299,740.25
  5. Step 5: Solve for x
    x = 14,366,299,740.25/77,563.50
  6. Step 6: Final answer
    x = 185,219.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.