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Finding the Third Proportional to 152,070.75 and 313,780.50

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Solution

The third proportional to 152,070.75 and 313,780.50 is: 647,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,070.75 : 313,780.50 = 313,780.50 : x
  2. Step 2: Convert to fraction form
    152,070.75/313,780.50 = 313,780.50/x
  3. Step 3: Cross multiply
    152,070.75x = 313,780.50 × 313,780.50
  4. Step 4: Simplify right side
    152,070.75x = 98,458,202,180.25
  5. Step 5: Solve for x
    x = 98,458,202,180.25/152,070.75
  6. Step 6: Final answer
    x = 647,449.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.