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Finding the Third Proportional to 361,154 and 777,808

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Solution

The third proportional to 361,154 and 777,808 is: 1,675,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,154 : 777,808 = 777,808 : x
  2. Step 2: Convert to fraction form
    361,154/777,808 = 777,808/x
  3. Step 3: Cross multiply
    361,154x = 777,808 × 777,808
  4. Step 4: Simplify right side
    361,154x = 604,985,284,864
  5. Step 5: Solve for x
    x = 604,985,284,864/361,154
  6. Step 6: Final answer
    x = 1,675,144.91

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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.