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Finding the Third Proportional to 140,224.50 and 306,142.88

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Solution

The third proportional to 140,224.50 and 306,142.88 is: 668,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224.50 : 306,142.88 = 306,142.88 : x
  2. Step 2: Convert to fraction form
    140,224.50/306,142.88 = 306,142.88/x
  3. Step 3: Cross multiply
    140,224.50x = 306,142.88 × 306,142.88
  4. Step 4: Simplify right side
    140,224.50x = 93,723,459,913.27
  5. Step 5: Solve for x
    x = 93,723,459,913.27/140,224.50
  6. Step 6: Final answer
    x = 668,381.49

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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.