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Finding the Third Proportional to 377,177 and 813,403

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Solution

The third proportional to 377,177 and 813,403 is: 1,754,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,177 : 813,403 = 813,403 : x
  2. Step 2: Convert to fraction form
    377,177/813,403 = 813,403/x
  3. Step 3: Cross multiply
    377,177x = 813,403 × 813,403
  4. Step 4: Simplify right side
    377,177x = 661,624,440,409
  5. Step 5: Solve for x
    x = 661,624,440,409/377,177
  6. Step 6: Final answer
    x = 1,754,148.42

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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.