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Finding the Third Proportional to 311,860.13 and 495,780.75

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Solution

The third proportional to 311,860.13 and 495,780.75 is: 788,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,860.13 : 495,780.75 = 495,780.75 : x
  2. Step 2: Convert to fraction form
    311,860.13/495,780.75 = 495,780.75/x
  3. Step 3: Cross multiply
    311,860.13x = 495,780.75 × 495,780.75
  4. Step 4: Simplify right side
    311,860.13x = 245,798,552,070.56
  5. Step 5: Solve for x
    x = 245,798,552,070.56/311,860.13
  6. Step 6: Final answer
    x = 788,169.22

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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.