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Finding the Third Proportional to 172,983.19 and 374,397.28

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Solution

The third proportional to 172,983.19 and 374,397.28 is: 810,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,983.19 : 374,397.28 = 374,397.28 : x
  2. Step 2: Convert to fraction form
    172,983.19/374,397.28 = 374,397.28/x
  3. Step 3: Cross multiply
    172,983.19x = 374,397.28 × 374,397.28
  4. Step 4: Simplify right side
    172,983.19x = 140,173,324,207.39
  5. Step 5: Solve for x
    x = 140,173,324,207.39/172,983.19
  6. Step 6: Final answer
    x = 810,329.18

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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.