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Finding the Third Proportional to 40,428 and 85,045

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Solution

The third proportional to 40,428 and 85,045 is: 178,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428 : 85,045 = 85,045 : x
  2. Step 2: Convert to fraction form
    40,428/85,045 = 85,045/x
  3. Step 3: Cross multiply
    40,428x = 85,045 × 85,045
  4. Step 4: Simplify right side
    40,428x = 7,232,652,025
  5. Step 5: Solve for x
    x = 7,232,652,025/40,428
  6. Step 6: Final answer
    x = 178,902.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.