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Finding the Third Proportional to 330,336 and 506,156

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Solution

The third proportional to 330,336 and 506,156 is: 775,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,336 : 506,156 = 506,156 : x
  2. Step 2: Convert to fraction form
    330,336/506,156 = 506,156/x
  3. Step 3: Cross multiply
    330,336x = 506,156 × 506,156
  4. Step 4: Simplify right side
    330,336x = 256,193,896,336
  5. Step 5: Solve for x
    x = 256,193,896,336/330,336
  6. Step 6: Final answer
    x = 775,555.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.