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Finding the Third Proportional to 171,911 and 373,403

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Solution

The third proportional to 171,911 and 373,403 is: 811,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,911 : 373,403 = 373,403 : x
  2. Step 2: Convert to fraction form
    171,911/373,403 = 373,403/x
  3. Step 3: Cross multiply
    171,911x = 373,403 × 373,403
  4. Step 4: Simplify right side
    171,911x = 139,429,800,409
  5. Step 5: Solve for x
    x = 139,429,800,409/171,911
  6. Step 6: Final answer
    x = 811,058.05

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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.