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Finding the Third Proportional to 61,384 and 134,480

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Solution

The third proportional to 61,384 and 134,480 is: 294,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,384 : 134,480 = 134,480 : x
  2. Step 2: Convert to fraction form
    61,384/134,480 = 134,480/x
  3. Step 3: Cross multiply
    61,384x = 134,480 × 134,480
  4. Step 4: Simplify right side
    61,384x = 18,084,870,400
  5. Step 5: Solve for x
    x = 18,084,870,400/61,384
  6. Step 6: Final answer
    x = 294,618.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.