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Finding the Third Proportional to 455,600 and 724,089

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Solution

The third proportional to 455,600 and 724,089 is: 1,150,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,600 : 724,089 = 724,089 : x
  2. Step 2: Convert to fraction form
    455,600/724,089 = 724,089/x
  3. Step 3: Cross multiply
    455,600x = 724,089 × 724,089
  4. Step 4: Simplify right side
    455,600x = 524,304,879,921
  5. Step 5: Solve for x
    x = 524,304,879,921/455,600
  6. Step 6: Final answer
    x = 1,150,800.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.