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Finding the Third Proportional to 40,428 and 57,710

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Solution

The third proportional to 40,428 and 57,710 is: 82,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428 : 57,710 = 57,710 : x
  2. Step 2: Convert to fraction form
    40,428/57,710 = 57,710/x
  3. Step 3: Cross multiply
    40,428x = 57,710 × 57,710
  4. Step 4: Simplify right side
    40,428x = 3,330,444,100
  5. Step 5: Solve for x
    x = 3,330,444,100/40,428
  6. Step 6: Final answer
    x = 82,379.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.