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Finding the Third Proportional to 138,322 and 219,579

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Solution

The third proportional to 138,322 and 219,579 is: 348,570.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322 : 219,579 = 219,579 : x
  2. Step 2: Convert to fraction form
    138,322/219,579 = 219,579/x
  3. Step 3: Cross multiply
    138,322x = 219,579 × 219,579
  4. Step 4: Simplify right side
    138,322x = 48,214,937,241
  5. Step 5: Solve for x
    x = 48,214,937,241/138,322
  6. Step 6: Final answer
    x = 348,570.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.