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Finding the Third Proportional to 331,980 and 711,294

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Solution

The third proportional to 331,980 and 711,294 is: 1,524,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,980 : 711,294 = 711,294 : x
  2. Step 2: Convert to fraction form
    331,980/711,294 = 711,294/x
  3. Step 3: Cross multiply
    331,980x = 711,294 × 711,294
  4. Step 4: Simplify right side
    331,980x = 505,939,154,436
  5. Step 5: Solve for x
    x = 505,939,154,436/331,980
  6. Step 6: Final answer
    x = 1,524,004.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.