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Finding the Third Proportional to 393,460 and 705,940

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Solution

The third proportional to 393,460 and 705,940 is: 1,266,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,460 : 705,940 = 705,940 : x
  2. Step 2: Convert to fraction form
    393,460/705,940 = 705,940/x
  3. Step 3: Cross multiply
    393,460x = 705,940 × 705,940
  4. Step 4: Simplify right side
    393,460x = 498,351,283,600
  5. Step 5: Solve for x
    x = 498,351,283,600/393,460
  6. Step 6: Final answer
    x = 1,266,586.90

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.