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Finding the Third Proportional to 493,604 and 721,706

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Solution

The third proportional to 493,604 and 721,706 is: 1,055,217.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,604 : 721,706 = 721,706 : x
  2. Step 2: Convert to fraction form
    493,604/721,706 = 721,706/x
  3. Step 3: Cross multiply
    493,604x = 721,706 × 721,706
  4. Step 4: Simplify right side
    493,604x = 520,859,550,436
  5. Step 5: Solve for x
    x = 520,859,550,436/493,604
  6. Step 6: Final answer
    x = 1,055,217.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.