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Finding the Third Proportional to 339,351 and 711,750

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Solution

The third proportional to 339,351 and 711,750 is: 1,492,814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,351 : 711,750 = 711,750 : x
  2. Step 2: Convert to fraction form
    339,351/711,750 = 711,750/x
  3. Step 3: Cross multiply
    339,351x = 711,750 × 711,750
  4. Step 4: Simplify right side
    339,351x = 506,588,062,500
  5. Step 5: Solve for x
    x = 506,588,062,500/339,351
  6. Step 6: Final answer
    x = 1,492,814.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.