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Finding the Third Proportional to 361,607 and 777,637

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Solution

The third proportional to 361,607 and 777,637 is: 1,672,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,607 : 777,637 = 777,637 : x
  2. Step 2: Convert to fraction form
    361,607/777,637 = 777,637/x
  3. Step 3: Cross multiply
    361,607x = 777,637 × 777,637
  4. Step 4: Simplify right side
    361,607x = 604,719,303,769
  5. Step 5: Solve for x
    x = 604,719,303,769/361,607
  6. Step 6: Final answer
    x = 1,672,310.83

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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.