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Finding the Third Proportional to 203,153.70 and 315,000.14

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Solution

The third proportional to 203,153.70 and 315,000.14 is: 488,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,153.70 : 315,000.14 = 315,000.14 : x
  2. Step 2: Convert to fraction form
    203,153.70/315,000.14 = 315,000.14/x
  3. Step 3: Cross multiply
    203,153.70x = 315,000.14 × 315,000.14
  4. Step 4: Simplify right side
    203,153.70x = 99,225,088,593.77
  5. Step 5: Solve for x
    x = 99,225,088,593.77/203,153.70
  6. Step 6: Final answer
    x = 488,423.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.