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Finding the Third Proportional to 93,848 and 141,579

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Solution

The third proportional to 93,848 and 141,579 is: 213,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,848 : 141,579 = 141,579 : x
  2. Step 2: Convert to fraction form
    93,848/141,579 = 141,579/x
  3. Step 3: Cross multiply
    93,848x = 141,579 × 141,579
  4. Step 4: Simplify right side
    93,848x = 20,044,613,241
  5. Step 5: Solve for x
    x = 20,044,613,241/93,848
  6. Step 6: Final answer
    x = 213,585.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.