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Finding the Third Proportional to 155,020.50 and 328,488.75

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Solution

The third proportional to 155,020.50 and 328,488.75 is: 696,068.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,020.50 : 328,488.75 = 328,488.75 : x
  2. Step 2: Convert to fraction form
    155,020.50/328,488.75 = 328,488.75/x
  3. Step 3: Cross multiply
    155,020.50x = 328,488.75 × 328,488.75
  4. Step 4: Simplify right side
    155,020.50x = 107,904,858,876.56
  5. Step 5: Solve for x
    x = 107,904,858,876.56/155,020.50
  6. Step 6: Final answer
    x = 696,068.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.