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Finding the Third Proportional to 58,704 and 138,512

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Solution

The third proportional to 58,704 and 138,512 is: 326,818.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,704 : 138,512 = 138,512 : x
  2. Step 2: Convert to fraction form
    58,704/138,512 = 138,512/x
  3. Step 3: Cross multiply
    58,704x = 138,512 × 138,512
  4. Step 4: Simplify right side
    58,704x = 19,185,574,144
  5. Step 5: Solve for x
    x = 19,185,574,144/58,704
  6. Step 6: Final answer
    x = 326,818.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.