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Finding the Third Proportional to 85,851 and 187,071

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Solution

The third proportional to 85,851 and 187,071 is: 407,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 187,071 = 187,071 : x
  2. Step 2: Convert to fraction form
    85,851/187,071 = 187,071/x
  3. Step 3: Cross multiply
    85,851x = 187,071 × 187,071
  4. Step 4: Simplify right side
    85,851x = 34,995,559,041
  5. Step 5: Solve for x
    x = 34,995,559,041/85,851
  6. Step 6: Final answer
    x = 407,631.35

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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.