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Finding the Third Proportional to 319,323 and 479,031

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Solution

The third proportional to 319,323 and 479,031 is: 718,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,323 : 479,031 = 479,031 : x
  2. Step 2: Convert to fraction form
    319,323/479,031 = 479,031/x
  3. Step 3: Cross multiply
    319,323x = 479,031 × 479,031
  4. Step 4: Simplify right side
    319,323x = 229,470,698,961
  5. Step 5: Solve for x
    x = 229,470,698,961/319,323
  6. Step 6: Final answer
    x = 718,616.26

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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.