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Finding the Third Proportional to 130,669.88 and 285,123.38

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Solution

The third proportional to 130,669.88 and 285,123.38 is: 622,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,669.88 : 285,123.38 = 285,123.38 : x
  2. Step 2: Convert to fraction form
    130,669.88/285,123.38 = 285,123.38/x
  3. Step 3: Cross multiply
    130,669.88x = 285,123.38 × 285,123.38
  4. Step 4: Simplify right side
    130,669.88x = 81,295,338,971.39
  5. Step 5: Solve for x
    x = 81,295,338,971.39/130,669.88
  6. Step 6: Final answer
    x = 622,142.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.