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Finding the Third Proportional to 70,084 and 143,438

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Solution

The third proportional to 70,084 and 143,438 is: 293,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,084 : 143,438 = 143,438 : x
  2. Step 2: Convert to fraction form
    70,084/143,438 = 143,438/x
  3. Step 3: Cross multiply
    70,084x = 143,438 × 143,438
  4. Step 4: Simplify right side
    70,084x = 20,574,459,844
  5. Step 5: Solve for x
    x = 20,574,459,844/70,084
  6. Step 6: Final answer
    x = 293,568.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.