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Finding the Third Proportional to 57,998 and 86,970

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Solution

The third proportional to 57,998 and 86,970 is: 130,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,998 : 86,970 = 86,970 : x
  2. Step 2: Convert to fraction form
    57,998/86,970 = 86,970/x
  3. Step 3: Cross multiply
    57,998x = 86,970 × 86,970
  4. Step 4: Simplify right side
    57,998x = 7,563,780,900
  5. Step 5: Solve for x
    x = 7,563,780,900/57,998
  6. Step 6: Final answer
    x = 130,414.51

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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.