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Finding the Third Proportional to 375,585.75 and 811,309.50

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Solution

The third proportional to 375,585.75 and 811,309.50 is: 1,752,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,585.75 : 811,309.50 = 811,309.50 : x
  2. Step 2: Convert to fraction form
    375,585.75/811,309.50 = 811,309.50/x
  3. Step 3: Cross multiply
    375,585.75x = 811,309.50 × 811,309.50
  4. Step 4: Simplify right side
    375,585.75x = 658,223,104,790.25
  5. Step 5: Solve for x
    x = 658,223,104,790.25/375,585.75
  6. Step 6: Final answer
    x = 1,752,524.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.