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Finding the Third Proportional to 513,838 and 790,413

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Solution

The third proportional to 513,838 and 790,413 is: 1,215,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,838 : 790,413 = 790,413 : x
  2. Step 2: Convert to fraction form
    513,838/790,413 = 790,413/x
  3. Step 3: Cross multiply
    513,838x = 790,413 × 790,413
  4. Step 4: Simplify right side
    513,838x = 624,752,710,569
  5. Step 5: Solve for x
    x = 624,752,710,569/513,838
  6. Step 6: Final answer
    x = 1,215,855.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.