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Finding the Third Proportional to 382,275 and 607,311

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Solution

The third proportional to 382,275 and 607,311 is: 964,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,275 : 607,311 = 607,311 : x
  2. Step 2: Convert to fraction form
    382,275/607,311 = 607,311/x
  3. Step 3: Cross multiply
    382,275x = 607,311 × 607,311
  4. Step 4: Simplify right side
    382,275x = 368,826,650,721
  5. Step 5: Solve for x
    x = 368,826,650,721/382,275
  6. Step 6: Final answer
    x = 964,820.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.