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Finding the Third Proportional to 319,485 and 485,061

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Solution

The third proportional to 319,485 and 485,061 is: 736,448.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,485 : 485,061 = 485,061 : x
  2. Step 2: Convert to fraction form
    319,485/485,061 = 485,061/x
  3. Step 3: Cross multiply
    319,485x = 485,061 × 485,061
  4. Step 4: Simplify right side
    319,485x = 235,284,173,721
  5. Step 5: Solve for x
    x = 235,284,173,721/319,485
  6. Step 6: Final answer
    x = 736,448.26

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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.