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Finding the Third Proportional to 195,780.80 and 311,528.53

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Solution

The third proportional to 195,780.80 and 311,528.53 is: 495,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,780.80 : 311,528.53 = 311,528.53 : x
  2. Step 2: Convert to fraction form
    195,780.80/311,528.53 = 311,528.53/x
  3. Step 3: Cross multiply
    195,780.80x = 311,528.53 × 311,528.53
  4. Step 4: Simplify right side
    195,780.80x = 97,050,025,782.78
  5. Step 5: Solve for x
    x = 97,050,025,782.78/195,780.80
  6. Step 6: Final answer
    x = 495,707.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.