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Finding the Third Proportional to 174,414 and 261,621

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Solution

The third proportional to 174,414 and 261,621 is: 392,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,414 : 261,621 = 261,621 : x
  2. Step 2: Convert to fraction form
    174,414/261,621 = 261,621/x
  3. Step 3: Cross multiply
    174,414x = 261,621 × 261,621
  4. Step 4: Simplify right side
    174,414x = 68,445,547,641
  5. Step 5: Solve for x
    x = 68,445,547,641/174,414
  6. Step 6: Final answer
    x = 392,431.50

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1.5x scale

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.