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Finding the Third Proportional to 93,876 and 138,312

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Solution

The third proportional to 93,876 and 138,312 is: 203,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,876 : 138,312 = 138,312 : x
  2. Step 2: Convert to fraction form
    93,876/138,312 = 138,312/x
  3. Step 3: Cross multiply
    93,876x = 138,312 × 138,312
  4. Step 4: Simplify right side
    93,876x = 19,130,209,344
  5. Step 5: Solve for x
    x = 19,130,209,344/93,876
  6. Step 6: Final answer
    x = 203,781.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.