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Finding the Third Proportional to 353,066 and 777,394

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Solution

The third proportional to 353,066 and 777,394 is: 1,711,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,066 : 777,394 = 777,394 : x
  2. Step 2: Convert to fraction form
    353,066/777,394 = 777,394/x
  3. Step 3: Cross multiply
    353,066x = 777,394 × 777,394
  4. Step 4: Simplify right side
    353,066x = 604,341,431,236
  5. Step 5: Solve for x
    x = 604,341,431,236/353,066
  6. Step 6: Final answer
    x = 1,711,695.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.