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Finding the Third Proportional to 354,750 and 820,413

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Solution

The third proportional to 354,750 and 820,413 is: 1,897,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,750 : 820,413 = 820,413 : x
  2. Step 2: Convert to fraction form
    354,750/820,413 = 820,413/x
  3. Step 3: Cross multiply
    354,750x = 820,413 × 820,413
  4. Step 4: Simplify right side
    354,750x = 673,077,490,569
  5. Step 5: Solve for x
    x = 673,077,490,569/354,750
  6. Step 6: Final answer
    x = 1,897,329.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.