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Finding the Third Proportional to 54,582 and 84,123

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Solution

The third proportional to 54,582 and 84,123 is: 129,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,582 : 84,123 = 84,123 : x
  2. Step 2: Convert to fraction form
    54,582/84,123 = 84,123/x
  3. Step 3: Cross multiply
    54,582x = 84,123 × 84,123
  4. Step 4: Simplify right side
    54,582x = 7,076,679,129
  5. Step 5: Solve for x
    x = 7,076,679,129/54,582
  6. Step 6: Final answer
    x = 129,652.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.