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Finding the Third Proportional to 172,671.75 and 374,878.13

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Solution

The third proportional to 172,671.75 and 374,878.13 is: 813,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,671.75 : 374,878.13 = 374,878.13 : x
  2. Step 2: Convert to fraction form
    172,671.75/374,878.13 = 374,878.13/x
  3. Step 3: Cross multiply
    172,671.75x = 374,878.13 × 374,878.13
  4. Step 4: Simplify right side
    172,671.75x = 140,533,608,603.52
  5. Step 5: Solve for x
    x = 140,533,608,603.52/172,671.75
  6. Step 6: Final answer
    x = 813,877.25

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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.