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Finding the Third Proportional to 721,678 and 1,099,537

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Solution

The third proportional to 721,678 and 1,099,537 is: 1,675,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,678 : 1,099,537 = 1,099,537 : x
  2. Step 2: Convert to fraction form
    721,678/1,099,537 = 1,099,537/x
  3. Step 3: Cross multiply
    721,678x = 1,099,537 × 1,099,537
  4. Step 4: Simplify right side
    721,678x = 1,208,981,614,369
  5. Step 5: Solve for x
    x = 1,208,981,614,369/721,678
  6. Step 6: Final answer
    x = 1,675,236.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.