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Finding the Third Proportional to 170,426 and 373,981

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Solution

The third proportional to 170,426 and 373,981 is: 820,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,426 : 373,981 = 373,981 : x
  2. Step 2: Convert to fraction form
    170,426/373,981 = 373,981/x
  3. Step 3: Cross multiply
    170,426x = 373,981 × 373,981
  4. Step 4: Simplify right side
    170,426x = 139,861,788,361
  5. Step 5: Solve for x
    x = 139,861,788,361/170,426
  6. Step 6: Final answer
    x = 820,659.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.