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Finding the Third Proportional to 420,946 and 748,394

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Solution

The third proportional to 420,946 and 748,394 is: 1,330,559.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,946 : 748,394 = 748,394 : x
  2. Step 2: Convert to fraction form
    420,946/748,394 = 748,394/x
  3. Step 3: Cross multiply
    420,946x = 748,394 × 748,394
  4. Step 4: Simplify right side
    420,946x = 560,093,579,236
  5. Step 5: Solve for x
    x = 560,093,579,236/420,946
  6. Step 6: Final answer
    x = 1,330,559.21

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.