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Finding the Third Proportional to 371,877 and 813,819

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Solution

The third proportional to 371,877 and 813,819 is: 1,780,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,877 : 813,819 = 813,819 : x
  2. Step 2: Convert to fraction form
    371,877/813,819 = 813,819/x
  3. Step 3: Cross multiply
    371,877x = 813,819 × 813,819
  4. Step 4: Simplify right side
    371,877x = 662,301,364,761
  5. Step 5: Solve for x
    x = 662,301,364,761/371,877
  6. Step 6: Final answer
    x = 1,780,968.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.