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Finding the Third Proportional to 458,416 and 700,800

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Solution

The third proportional to 458,416 and 700,800 is: 1,071,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,416 : 700,800 = 700,800 : x
  2. Step 2: Convert to fraction form
    458,416/700,800 = 700,800/x
  3. Step 3: Cross multiply
    458,416x = 700,800 × 700,800
  4. Step 4: Simplify right side
    458,416x = 491,120,640,000
  5. Step 5: Solve for x
    x = 491,120,640,000/458,416
  6. Step 6: Final answer
    x = 1,071,342.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.