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Finding the Third Proportional to 361,552 and 778,996

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Solution

The third proportional to 361,552 and 778,996 is: 1,678,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,552 : 778,996 = 778,996 : x
  2. Step 2: Convert to fraction form
    361,552/778,996 = 778,996/x
  3. Step 3: Cross multiply
    361,552x = 778,996 × 778,996
  4. Step 4: Simplify right side
    361,552x = 606,834,768,016
  5. Step 5: Solve for x
    x = 606,834,768,016/361,552
  6. Step 6: Final answer
    x = 1,678,416.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.