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Finding the Third Proportional to 306,848 and 656,344

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Solution

The third proportional to 306,848 and 656,344 is: 1,403,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,848 : 656,344 = 656,344 : x
  2. Step 2: Convert to fraction form
    306,848/656,344 = 656,344/x
  3. Step 3: Cross multiply
    306,848x = 656,344 × 656,344
  4. Step 4: Simplify right side
    306,848x = 430,787,446,336
  5. Step 5: Solve for x
    x = 430,787,446,336/306,848
  6. Step 6: Final answer
    x = 1,403,911.53

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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.