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Finding the Third Proportional to 130,515 and 284,999

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Solution

The third proportional to 130,515 and 284,999 is: 622,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,515 : 284,999 = 284,999 : x
  2. Step 2: Convert to fraction form
    130,515/284,999 = 284,999/x
  3. Step 3: Cross multiply
    130,515x = 284,999 × 284,999
  4. Step 4: Simplify right side
    130,515x = 81,224,430,001
  5. Step 5: Solve for x
    x = 81,224,430,001/130,515
  6. Step 6: Final answer
    x = 622,337.89

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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.