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Finding the Third Proportional to 310,092 and 479,772

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Solution

The third proportional to 310,092 and 479,772 is: 742,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,092 : 479,772 = 479,772 : x
  2. Step 2: Convert to fraction form
    310,092/479,772 = 479,772/x
  3. Step 3: Cross multiply
    310,092x = 479,772 × 479,772
  4. Step 4: Simplify right side
    310,092x = 230,181,171,984
  5. Step 5: Solve for x
    x = 230,181,171,984/310,092
  6. Step 6: Final answer
    x = 742,299.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.