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Finding the Third Proportional to 311,904 and 486,072

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Solution

The third proportional to 311,904 and 486,072 is: 757,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,904 : 486,072 = 486,072 : x
  2. Step 2: Convert to fraction form
    311,904/486,072 = 486,072/x
  3. Step 3: Cross multiply
    311,904x = 486,072 × 486,072
  4. Step 4: Simplify right side
    311,904x = 236,265,989,184
  5. Step 5: Solve for x
    x = 236,265,989,184/311,904
  6. Step 6: Final answer
    x = 757,495.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.