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Finding the Third Proportional to 58,653 and 138,321

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Solution

The third proportional to 58,653 and 138,321 is: 326,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,653 : 138,321 = 138,321 : x
  2. Step 2: Convert to fraction form
    58,653/138,321 = 138,321/x
  3. Step 3: Cross multiply
    58,653x = 138,321 × 138,321
  4. Step 4: Simplify right side
    58,653x = 19,132,699,041
  5. Step 5: Solve for x
    x = 19,132,699,041/58,653
  6. Step 6: Final answer
    x = 326,201.54

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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.