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Finding the Third Proportional to 174,413 and 261,620

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Solution

The third proportional to 174,413 and 261,620 is: 392,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,413 : 261,620 = 261,620 : x
  2. Step 2: Convert to fraction form
    174,413/261,620 = 261,620/x
  3. Step 3: Cross multiply
    174,413x = 261,620 × 261,620
  4. Step 4: Simplify right side
    174,413x = 68,445,024,400
  5. Step 5: Solve for x
    x = 68,445,024,400/174,413
  6. Step 6: Final answer
    x = 392,430.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.