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Finding the Third Proportional to 54,710 and 85,713

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Solution

The third proportional to 54,710 and 85,713 is: 134,284.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,710 : 85,713 = 85,713 : x
  2. Step 2: Convert to fraction form
    54,710/85,713 = 85,713/x
  3. Step 3: Cross multiply
    54,710x = 85,713 × 85,713
  4. Step 4: Simplify right side
    54,710x = 7,346,718,369
  5. Step 5: Solve for x
    x = 7,346,718,369/54,710
  6. Step 6: Final answer
    x = 134,284.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.