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Finding the Third Proportional to 319,168 and 485,664

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Solution

The third proportional to 319,168 and 485,664 is: 739,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,168 : 485,664 = 485,664 : x
  2. Step 2: Convert to fraction form
    319,168/485,664 = 485,664/x
  3. Step 3: Cross multiply
    319,168x = 485,664 × 485,664
  4. Step 4: Simplify right side
    319,168x = 235,869,520,896
  5. Step 5: Solve for x
    x = 235,869,520,896/319,168
  6. Step 6: Final answer
    x = 739,013.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.