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Finding the Third Proportional to 61,490 and 135,328

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Solution

The third proportional to 61,490 and 135,328 is: 297,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,490 : 135,328 = 135,328 : x
  2. Step 2: Convert to fraction form
    61,490/135,328 = 135,328/x
  3. Step 3: Cross multiply
    61,490x = 135,328 × 135,328
  4. Step 4: Simplify right side
    61,490x = 18,313,667,584
  5. Step 5: Solve for x
    x = 18,313,667,584/61,490
  6. Step 6: Final answer
    x = 297,831.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.