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Finding the Third Proportional to 171,913 and 373,407

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Solution

The third proportional to 171,913 and 373,407 is: 811,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,913 : 373,407 = 373,407 : x
  2. Step 2: Convert to fraction form
    171,913/373,407 = 373,407/x
  3. Step 3: Cross multiply
    171,913x = 373,407 × 373,407
  4. Step 4: Simplify right side
    171,913x = 139,432,787,649
  5. Step 5: Solve for x
    x = 139,432,787,649/171,913
  6. Step 6: Final answer
    x = 811,065.99

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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.