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Finding the Third Proportional to 38,820 and 56,712

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Solution

The third proportional to 38,820 and 56,712 is: 82,850.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820 : 56,712 = 56,712 : x
  2. Step 2: Convert to fraction form
    38,820/56,712 = 56,712/x
  3. Step 3: Cross multiply
    38,820x = 56,712 × 56,712
  4. Step 4: Simplify right side
    38,820x = 3,216,250,944
  5. Step 5: Solve for x
    x = 3,216,250,944/38,820
  6. Step 6: Final answer
    x = 82,850.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.