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Finding the Third Proportional to 57,851 and 117,312

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Solution

The third proportional to 57,851 and 117,312 is: 237,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,851 : 117,312 = 117,312 : x
  2. Step 2: Convert to fraction form
    57,851/117,312 = 117,312/x
  3. Step 3: Cross multiply
    57,851x = 117,312 × 117,312
  4. Step 4: Simplify right side
    57,851x = 13,762,105,344
  5. Step 5: Solve for x
    x = 13,762,105,344/57,851
  6. Step 6: Final answer
    x = 237,888.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.