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Finding the Third Proportional to 130,507 and 284,982.75

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Solution

The third proportional to 130,507 and 284,982.75 is: 622,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,507 : 284,982.75 = 284,982.75 : x
  2. Step 2: Convert to fraction form
    130,507/284,982.75 = 284,982.75/x
  3. Step 3: Cross multiply
    130,507x = 284,982.75 × 284,982.75
  4. Step 4: Simplify right side
    130,507x = 81,215,167,797.56
  5. Step 5: Solve for x
    x = 81,215,167,797.56/130,507
  6. Step 6: Final answer
    x = 622,305.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.