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Finding the Third Proportional to 377,710 and 811,554

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Solution

The third proportional to 377,710 and 811,554 is: 1,743,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,710 : 811,554 = 811,554 : x
  2. Step 2: Convert to fraction form
    377,710/811,554 = 811,554/x
  3. Step 3: Cross multiply
    377,710x = 811,554 × 811,554
  4. Step 4: Simplify right side
    377,710x = 658,619,894,916
  5. Step 5: Solve for x
    x = 658,619,894,916/377,710
  6. Step 6: Final answer
    x = 1,743,718.45

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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.