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Finding the Third Proportional to 138,456.28 and 302,538.94

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Solution

The third proportional to 138,456.28 and 302,538.94 is: 661,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456.28 : 302,538.94 = 302,538.94 : x
  2. Step 2: Convert to fraction form
    138,456.28/302,538.94 = 302,538.94/x
  3. Step 3: Cross multiply
    138,456.28x = 302,538.94 × 302,538.94
  4. Step 4: Simplify right side
    138,456.28x = 91,529,808,703.63
  5. Step 5: Solve for x
    x = 91,529,808,703.63/138,456.28
  6. Step 6: Final answer
    x = 661,073.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.