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Finding the Third Proportional to 58,475.53 and 128,138.06

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Solution

The third proportional to 58,475.53 and 128,138.06 is: 280,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,475.53 : 128,138.06 = 128,138.06 : x
  2. Step 2: Convert to fraction form
    58,475.53/128,138.06 = 128,138.06/x
  3. Step 3: Cross multiply
    58,475.53x = 128,138.06 × 128,138.06
  4. Step 4: Simplify right side
    58,475.53x = 16,419,363,061.25
  5. Step 5: Solve for x
    x = 16,419,363,061.25/58,475.53
  6. Step 6: Final answer
    x = 280,790.32

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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.