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Finding the Third Proportional to 38,426 and 78,750

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Solution

The third proportional to 38,426 and 78,750 is: 161,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426 : 78,750 = 78,750 : x
  2. Step 2: Convert to fraction form
    38,426/78,750 = 78,750/x
  3. Step 3: Cross multiply
    38,426x = 78,750 × 78,750
  4. Step 4: Simplify right side
    38,426x = 6,201,562,500
  5. Step 5: Solve for x
    x = 6,201,562,500/38,426
  6. Step 6: Final answer
    x = 161,389.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.