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Finding the Third Proportional to 130,963 and 285,915

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Solution

The third proportional to 130,963 and 285,915 is: 624,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,963 : 285,915 = 285,915 : x
  2. Step 2: Convert to fraction form
    130,963/285,915 = 285,915/x
  3. Step 3: Cross multiply
    130,963x = 285,915 × 285,915
  4. Step 4: Simplify right side
    130,963x = 81,747,387,225
  5. Step 5: Solve for x
    x = 81,747,387,225/130,963
  6. Step 6: Final answer
    x = 624,202.16

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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.