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Finding the Third Proportional to 458,910 and 674,858

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Solution

The third proportional to 458,910 and 674,858 is: 992,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,910 : 674,858 = 674,858 : x
  2. Step 2: Convert to fraction form
    458,910/674,858 = 674,858/x
  3. Step 3: Cross multiply
    458,910x = 674,858 × 674,858
  4. Step 4: Simplify right side
    458,910x = 455,433,320,164
  5. Step 5: Solve for x
    x = 455,433,320,164/458,910
  6. Step 6: Final answer
    x = 992,424.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.