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Finding the Third Proportional to 64,971 and 142,353

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Solution

The third proportional to 64,971 and 142,353 is: 311,898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971 : 142,353 = 142,353 : x
  2. Step 2: Convert to fraction form
    64,971/142,353 = 142,353/x
  3. Step 3: Cross multiply
    64,971x = 142,353 × 142,353
  4. Step 4: Simplify right side
    64,971x = 20,264,376,609
  5. Step 5: Solve for x
    x = 20,264,376,609/64,971
  6. Step 6: Final answer
    x = 311,898.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.