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Finding the Third Proportional to 63,905.91 and 138,389.34

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Solution

The third proportional to 63,905.91 and 138,389.34 is: 299,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,905.91 : 138,389.34 = 138,389.34 : x
  2. Step 2: Convert to fraction form
    63,905.91/138,389.34 = 138,389.34/x
  3. Step 3: Cross multiply
    63,905.91x = 138,389.34 × 138,389.34
  4. Step 4: Simplify right side
    63,905.91x = 19,151,610,463.56
  5. Step 5: Solve for x
    x = 19,151,610,463.56/63,905.91
  6. Step 6: Final answer
    x = 299,684.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.