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Finding the Third Proportional to 58,259 and 87,298

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Solution

The third proportional to 58,259 and 87,298 is: 130,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,259 : 87,298 = 87,298 : x
  2. Step 2: Convert to fraction form
    58,259/87,298 = 87,298/x
  3. Step 3: Cross multiply
    58,259x = 87,298 × 87,298
  4. Step 4: Simplify right side
    58,259x = 7,620,940,804
  5. Step 5: Solve for x
    x = 7,620,940,804/58,259
  6. Step 6: Final answer
    x = 130,811.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.