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Finding the Third Proportional to 61,320 and 134,120

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Solution

The third proportional to 61,320 and 134,120 is: 293,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,320 : 134,120 = 134,120 : x
  2. Step 2: Convert to fraction form
    61,320/134,120 = 134,120/x
  3. Step 3: Cross multiply
    61,320x = 134,120 × 134,120
  4. Step 4: Simplify right side
    61,320x = 17,988,174,400
  5. Step 5: Solve for x
    x = 17,988,174,400/61,320
  6. Step 6: Final answer
    x = 293,349.22

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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.