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Finding the Third Proportional to 84,240 and 184,320

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Solution

The third proportional to 84,240 and 184,320 is: 403,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,240 : 184,320 = 184,320 : x
  2. Step 2: Convert to fraction form
    84,240/184,320 = 184,320/x
  3. Step 3: Cross multiply
    84,240x = 184,320 × 184,320
  4. Step 4: Simplify right side
    84,240x = 33,973,862,400
  5. Step 5: Solve for x
    x = 33,973,862,400/84,240
  6. Step 6: Final answer
    x = 403,298.46

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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.