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Finding the Third Proportional to 55,930 and 84,710

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Solution

The third proportional to 55,930 and 84,710 is: 128,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,930 : 84,710 = 84,710 : x
  2. Step 2: Convert to fraction form
    55,930/84,710 = 84,710/x
  3. Step 3: Cross multiply
    55,930x = 84,710 × 84,710
  4. Step 4: Simplify right side
    55,930x = 7,175,784,100
  5. Step 5: Solve for x
    x = 7,175,784,100/55,930
  6. Step 6: Final answer
    x = 128,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.