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Finding the Third Proportional to 59,240 and 130,489

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Solution

The third proportional to 59,240 and 130,489 is: 287,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,240 : 130,489 = 130,489 : x
  2. Step 2: Convert to fraction form
    59,240/130,489 = 130,489/x
  3. Step 3: Cross multiply
    59,240x = 130,489 × 130,489
  4. Step 4: Simplify right side
    59,240x = 17,027,379,121
  5. Step 5: Solve for x
    x = 17,027,379,121/59,240
  6. Step 6: Final answer
    x = 287,430.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.