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Finding the Third Proportional to 147,208.50 and 319,311

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Solution

The third proportional to 147,208.50 and 319,311 is: 692,619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,208.50 : 319,311 = 319,311 : x
  2. Step 2: Convert to fraction form
    147,208.50/319,311 = 319,311/x
  3. Step 3: Cross multiply
    147,208.50x = 319,311 × 319,311
  4. Step 4: Simplify right side
    147,208.50x = 101,959,514,721
  5. Step 5: Solve for x
    x = 101,959,514,721/147,208.50
  6. Step 6: Final answer
    x = 692,619.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.