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Finding the Third Proportional to 66,318 and 102,840

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Solution

The third proportional to 66,318 and 102,840 is: 159,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,318 : 102,840 = 102,840 : x
  2. Step 2: Convert to fraction form
    66,318/102,840 = 102,840/x
  3. Step 3: Cross multiply
    66,318x = 102,840 × 102,840
  4. Step 4: Simplify right side
    66,318x = 10,576,065,600
  5. Step 5: Solve for x
    x = 10,576,065,600/66,318
  6. Step 6: Final answer
    x = 159,475.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.