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Finding the Third Proportional to 377,288 and 813,584

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Solution

The third proportional to 377,288 and 813,584 is: 1,754,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,288 : 813,584 = 813,584 : x
  2. Step 2: Convert to fraction form
    377,288/813,584 = 813,584/x
  3. Step 3: Cross multiply
    377,288x = 813,584 × 813,584
  4. Step 4: Simplify right side
    377,288x = 661,918,925,056
  5. Step 5: Solve for x
    x = 661,918,925,056/377,288
  6. Step 6: Final answer
    x = 1,754,412.88

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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.