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Finding the Third Proportional to 57,710 and 84,513

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Solution

The third proportional to 57,710 and 84,513 is: 123,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710 : 84,513 = 84,513 : x
  2. Step 2: Convert to fraction form
    57,710/84,513 = 84,513/x
  3. Step 3: Cross multiply
    57,710x = 84,513 × 84,513
  4. Step 4: Simplify right side
    57,710x = 7,142,447,169
  5. Step 5: Solve for x
    x = 7,142,447,169/57,710
  6. Step 6: Final answer
    x = 123,764.46

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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.