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Finding the Third Proportional to 140,011.03 and 217,158.47

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Solution

The third proportional to 140,011.03 and 217,158.47 is: 336,814.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,011.03 : 217,158.47 = 217,158.47 : x
  2. Step 2: Convert to fraction form
    140,011.03/217,158.47 = 217,158.47/x
  3. Step 3: Cross multiply
    140,011.03x = 217,158.47 × 217,158.47
  4. Step 4: Simplify right side
    140,011.03x = 47,157,800,549.84
  5. Step 5: Solve for x
    x = 47,157,800,549.84/140,011.03
  6. Step 6: Final answer
    x = 336,814.89

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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.