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Finding the Third Proportional to 143,426 and 191,565

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Solution

The third proportional to 143,426 and 191,565 is: 255,861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,426 : 191,565 = 191,565 : x
  2. Step 2: Convert to fraction form
    143,426/191,565 = 191,565/x
  3. Step 3: Cross multiply
    143,426x = 191,565 × 191,565
  4. Step 4: Simplify right side
    143,426x = 36,697,149,225
  5. Step 5: Solve for x
    x = 36,697,149,225/143,426
  6. Step 6: Final answer
    x = 255,861.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.