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Finding the Third Proportional to 38,570 and 57,855

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Solution

The third proportional to 38,570 and 57,855 is: 86,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570 : 57,855 = 57,855 : x
  2. Step 2: Convert to fraction form
    38,570/57,855 = 57,855/x
  3. Step 3: Cross multiply
    38,570x = 57,855 × 57,855
  4. Step 4: Simplify right side
    38,570x = 3,347,201,025
  5. Step 5: Solve for x
    x = 3,347,201,025/38,570
  6. Step 6: Final answer
    x = 86,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.