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Finding the Third Proportional to 59,515 and 130,450

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Solution

The third proportional to 59,515 and 130,450 is: 285,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,515 : 130,450 = 130,450 : x
  2. Step 2: Convert to fraction form
    59,515/130,450 = 130,450/x
  3. Step 3: Cross multiply
    59,515x = 130,450 × 130,450
  4. Step 4: Simplify right side
    59,515x = 17,017,202,500
  5. Step 5: Solve for x
    x = 17,017,202,500/59,515
  6. Step 6: Final answer
    x = 285,931.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.