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Finding the Third Proportional to 138,938.63 and 303,301.13

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Solution

The third proportional to 138,938.63 and 303,301.13 is: 662,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,938.63 : 303,301.13 = 303,301.13 : x
  2. Step 2: Convert to fraction form
    138,938.63/303,301.13 = 303,301.13/x
  3. Step 3: Cross multiply
    138,938.63x = 303,301.13 × 303,301.13
  4. Step 4: Simplify right side
    138,938.63x = 91,991,572,426.27
  5. Step 5: Solve for x
    x = 91,991,572,426.27/138,938.63
  6. Step 6: Final answer
    x = 662,102.22

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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.