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Finding the Third Proportional to 100,440 and 147,065

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Solution

The third proportional to 100,440 and 147,065 is: 215,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,440 : 147,065 = 147,065 : x
  2. Step 2: Convert to fraction form
    100,440/147,065 = 147,065/x
  3. Step 3: Cross multiply
    100,440x = 147,065 × 147,065
  4. Step 4: Simplify right side
    100,440x = 21,628,114,225
  5. Step 5: Solve for x
    x = 21,628,114,225/100,440
  6. Step 6: Final answer
    x = 215,333.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.