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Finding the Third Proportional to 93,502 and 140,216

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Solution

The third proportional to 93,502 and 140,216 is: 210,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,502 : 140,216 = 140,216 : x
  2. Step 2: Convert to fraction form
    93,502/140,216 = 140,216/x
  3. Step 3: Cross multiply
    93,502x = 140,216 × 140,216
  4. Step 4: Simplify right side
    93,502x = 19,660,526,656
  5. Step 5: Solve for x
    x = 19,660,526,656/93,502
  6. Step 6: Final answer
    x = 210,268.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.