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Finding the Third Proportional to 371,143 and 813,219

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Solution

The third proportional to 371,143 and 813,219 is: 1,781,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,143 : 813,219 = 813,219 : x
  2. Step 2: Convert to fraction form
    371,143/813,219 = 813,219/x
  3. Step 3: Cross multiply
    371,143x = 813,219 × 813,219
  4. Step 4: Simplify right side
    371,143x = 661,325,141,961
  5. Step 5: Solve for x
    x = 661,325,141,961/371,143
  6. Step 6: Final answer
    x = 1,781,860.74

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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.