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Finding the Third Proportional to 377,070 and 813,180

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Solution

The third proportional to 377,070 and 813,180 is: 1,753,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,070 : 813,180 = 813,180 : x
  2. Step 2: Convert to fraction form
    377,070/813,180 = 813,180/x
  3. Step 3: Cross multiply
    377,070x = 813,180 × 813,180
  4. Step 4: Simplify right side
    377,070x = 661,261,712,400
  5. Step 5: Solve for x
    x = 661,261,712,400/377,070
  6. Step 6: Final answer
    x = 1,753,684.23

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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.