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Finding the Third Proportional to 71,316 and 141,353

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Solution

The third proportional to 71,316 and 141,353 is: 280,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,316 : 141,353 = 141,353 : x
  2. Step 2: Convert to fraction form
    71,316/141,353 = 141,353/x
  3. Step 3: Cross multiply
    71,316x = 141,353 × 141,353
  4. Step 4: Simplify right side
    71,316x = 19,980,670,609
  5. Step 5: Solve for x
    x = 19,980,670,609/71,316
  6. Step 6: Final answer
    x = 280,170.94

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.