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Finding the Third Proportional to 367,139 and 571,649

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Solution

The third proportional to 367,139 and 571,649 is: 890,078.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,139 : 571,649 = 571,649 : x
  2. Step 2: Convert to fraction form
    367,139/571,649 = 571,649/x
  3. Step 3: Cross multiply
    367,139x = 571,649 × 571,649
  4. Step 4: Simplify right side
    367,139x = 326,782,579,201
  5. Step 5: Solve for x
    x = 326,782,579,201/367,139
  6. Step 6: Final answer
    x = 890,078.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.