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Finding the Third Proportional to 138,152 and 302,216

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Solution

The third proportional to 138,152 and 302,216 is: 661,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,152 : 302,216 = 302,216 : x
  2. Step 2: Convert to fraction form
    138,152/302,216 = 302,216/x
  3. Step 3: Cross multiply
    138,152x = 302,216 × 302,216
  4. Step 4: Simplify right side
    138,152x = 91,334,510,656
  5. Step 5: Solve for x
    x = 91,334,510,656/138,152
  6. Step 6: Final answer
    x = 661,116.09

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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.