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Finding the Third Proportional to 371,140 and 813,212

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Solution

The third proportional to 371,140 and 813,212 is: 1,781,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,140 : 813,212 = 813,212 : x
  2. Step 2: Convert to fraction form
    371,140/813,212 = 813,212/x
  3. Step 3: Cross multiply
    371,140x = 813,212 × 813,212
  4. Step 4: Simplify right side
    371,140x = 661,313,756,944
  5. Step 5: Solve for x
    x = 661,313,756,944/371,140
  6. Step 6: Final answer
    x = 1,781,844.47

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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.