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Finding the Third Proportional to 377,718.75 and 811,341

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Solution

The third proportional to 377,718.75 and 811,341 is: 1,742,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,718.75 : 811,341 = 811,341 : x
  2. Step 2: Convert to fraction form
    377,718.75/811,341 = 811,341/x
  3. Step 3: Cross multiply
    377,718.75x = 811,341 × 811,341
  4. Step 4: Simplify right side
    377,718.75x = 658,274,218,281
  5. Step 5: Solve for x
    x = 658,274,218,281/377,718.75
  6. Step 6: Final answer
    x = 1,742,762.88

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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.