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Finding the Third Proportional to 150,003 and 316,865

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Solution

The third proportional to 150,003 and 316,865 is: 669,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003 : 316,865 = 316,865 : x
  2. Step 2: Convert to fraction form
    150,003/316,865 = 316,865/x
  3. Step 3: Cross multiply
    150,003x = 316,865 × 316,865
  4. Step 4: Simplify right side
    150,003x = 100,403,428,225
  5. Step 5: Solve for x
    x = 100,403,428,225/150,003
  6. Step 6: Final answer
    x = 669,342.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.