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Finding the Third Proportional to 171,915 and 373,411

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Solution

The third proportional to 171,915 and 373,411 is: 811,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,915 : 373,411 = 373,411 : x
  2. Step 2: Convert to fraction form
    171,915/373,411 = 373,411/x
  3. Step 3: Cross multiply
    171,915x = 373,411 × 373,411
  4. Step 4: Simplify right side
    171,915x = 139,435,774,921
  5. Step 5: Solve for x
    x = 139,435,774,921/171,915
  6. Step 6: Final answer
    x = 811,073.93

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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.