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Finding the Third Proportional to 580,828 and 854,146

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Solution

The third proportional to 580,828 and 854,146 is: 1,256,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,828 : 854,146 = 854,146 : x
  2. Step 2: Convert to fraction form
    580,828/854,146 = 854,146/x
  3. Step 3: Cross multiply
    580,828x = 854,146 × 854,146
  4. Step 4: Simplify right side
    580,828x = 729,565,389,316
  5. Step 5: Solve for x
    x = 729,565,389,316/580,828
  6. Step 6: Final answer
    x = 1,256,078.20

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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.