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Finding the Third Proportional to 40,030 and 87,106

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Solution

The third proportional to 40,030 and 87,106 is: 189,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,030 : 87,106 = 87,106 : x
  2. Step 2: Convert to fraction form
    40,030/87,106 = 87,106/x
  3. Step 3: Cross multiply
    40,030x = 87,106 × 87,106
  4. Step 4: Simplify right side
    40,030x = 7,587,455,236
  5. Step 5: Solve for x
    x = 7,587,455,236/40,030
  6. Step 6: Final answer
    x = 189,544.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.