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Finding the Third Proportional to 130,787 and 202,012

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Solution

The third proportional to 130,787 and 202,012 is: 312,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,787 : 202,012 = 202,012 : x
  2. Step 2: Convert to fraction form
    130,787/202,012 = 202,012/x
  3. Step 3: Cross multiply
    130,787x = 202,012 × 202,012
  4. Step 4: Simplify right side
    130,787x = 40,808,848,144
  5. Step 5: Solve for x
    x = 40,808,848,144/130,787
  6. Step 6: Final answer
    x = 312,025.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.