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Finding the Third Proportional to 319,434 and 479,160

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Solution

The third proportional to 319,434 and 479,160 is: 718,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,434 : 479,160 = 479,160 : x
  2. Step 2: Convert to fraction form
    319,434/479,160 = 479,160/x
  3. Step 3: Cross multiply
    319,434x = 479,160 × 479,160
  4. Step 4: Simplify right side
    319,434x = 229,594,305,600
  5. Step 5: Solve for x
    x = 229,594,305,600/319,434
  6. Step 6: Final answer
    x = 718,753.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.