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Finding the Third Proportional to 40,011 and 87,222

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Solution

The third proportional to 40,011 and 87,222 is: 190,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,011 : 87,222 = 87,222 : x
  2. Step 2: Convert to fraction form
    40,011/87,222 = 87,222/x
  3. Step 3: Cross multiply
    40,011x = 87,222 × 87,222
  4. Step 4: Simplify right side
    40,011x = 7,607,677,284
  5. Step 5: Solve for x
    x = 7,607,677,284/40,011
  6. Step 6: Final answer
    x = 190,139.64

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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.