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Finding the Third Proportional to 59,710.50 and 130,902.75

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Solution

The third proportional to 59,710.50 and 130,902.75 is: 286,976.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,710.50 : 130,902.75 = 130,902.75 : x
  2. Step 2: Convert to fraction form
    59,710.50/130,902.75 = 130,902.75/x
  3. Step 3: Cross multiply
    59,710.50x = 130,902.75 × 130,902.75
  4. Step 4: Simplify right side
    59,710.50x = 17,135,529,957.56
  5. Step 5: Solve for x
    x = 17,135,529,957.56/59,710.50
  6. Step 6: Final answer
    x = 286,976.83

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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.