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Finding the Third Proportional to 361,142 and 777,784

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Solution

The third proportional to 361,142 and 777,784 is: 1,675,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,142 : 777,784 = 777,784 : x
  2. Step 2: Convert to fraction form
    361,142/777,784 = 777,784/x
  3. Step 3: Cross multiply
    361,142x = 777,784 × 777,784
  4. Step 4: Simplify right side
    361,142x = 604,947,950,656
  5. Step 5: Solve for x
    x = 604,947,950,656/361,142
  6. Step 6: Final answer
    x = 1,675,097.19

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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.