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Finding the Third Proportional to 172,983.47 and 374,397.84

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Solution

The third proportional to 172,983.47 and 374,397.84 is: 810,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,983.47 : 374,397.84 = 374,397.84 : x
  2. Step 2: Convert to fraction form
    172,983.47/374,397.84 = 374,397.84/x
  3. Step 3: Cross multiply
    172,983.47x = 374,397.84 × 374,397.84
  4. Step 4: Simplify right side
    172,983.47x = 140,173,745,404.65
  5. Step 5: Solve for x
    x = 140,173,745,404.65/172,983.47
  6. Step 6: Final answer
    x = 810,330.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.