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Finding the Third Proportional to 70,347 and 143,299

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Solution

The third proportional to 70,347 and 143,299 is: 291,904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,347 : 143,299 = 143,299 : x
  2. Step 2: Convert to fraction form
    70,347/143,299 = 143,299/x
  3. Step 3: Cross multiply
    70,347x = 143,299 × 143,299
  4. Step 4: Simplify right side
    70,347x = 20,534,603,401
  5. Step 5: Solve for x
    x = 20,534,603,401/70,347
  6. Step 6: Final answer
    x = 291,904.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.