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Finding the Third Proportional to 58,907 and 87,216

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Solution

The third proportional to 58,907 and 87,216 is: 129,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,907 : 87,216 = 87,216 : x
  2. Step 2: Convert to fraction form
    58,907/87,216 = 87,216/x
  3. Step 3: Cross multiply
    58,907x = 87,216 × 87,216
  4. Step 4: Simplify right side
    58,907x = 7,606,630,656
  5. Step 5: Solve for x
    x = 7,606,630,656/58,907
  6. Step 6: Final answer
    x = 129,129.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.