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Finding the Third Proportional to 150,921 and 316,530

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Solution

The third proportional to 150,921 and 316,530 is: 663,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,921 : 316,530 = 316,530 : x
  2. Step 2: Convert to fraction form
    150,921/316,530 = 316,530/x
  3. Step 3: Cross multiply
    150,921x = 316,530 × 316,530
  4. Step 4: Simplify right side
    150,921x = 100,191,240,900
  5. Step 5: Solve for x
    x = 100,191,240,900/150,921
  6. Step 6: Final answer
    x = 663,865.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.