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Finding the Third Proportional to 153,850 and 323,248

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Solution

The third proportional to 153,850 and 323,248 is: 679,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850 : 323,248 = 323,248 : x
  2. Step 2: Convert to fraction form
    153,850/323,248 = 323,248/x
  3. Step 3: Cross multiply
    153,850x = 323,248 × 323,248
  4. Step 4: Simplify right side
    153,850x = 104,489,269,504
  5. Step 5: Solve for x
    x = 104,489,269,504/153,850
  6. Step 6: Final answer
    x = 679,163.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.