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Finding the Third Proportional to 152,780.25 and 328,964.25

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Solution

The third proportional to 152,780.25 and 328,964.25 is: 708,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,780.25 : 328,964.25 = 328,964.25 : x
  2. Step 2: Convert to fraction form
    152,780.25/328,964.25 = 328,964.25/x
  3. Step 3: Cross multiply
    152,780.25x = 328,964.25 × 328,964.25
  4. Step 4: Simplify right side
    152,780.25x = 108,217,477,778.06
  5. Step 5: Solve for x
    x = 108,217,477,778.06/152,780.25
  6. Step 6: Final answer
    x = 708,321.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.