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Finding the Third Proportional to 311,908 and 456,739

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Solution

The third proportional to 311,908 and 456,739 is: 668,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,908 : 456,739 = 456,739 : x
  2. Step 2: Convert to fraction form
    311,908/456,739 = 456,739/x
  3. Step 3: Cross multiply
    311,908x = 456,739 × 456,739
  4. Step 4: Simplify right side
    311,908x = 208,610,514,121
  5. Step 5: Solve for x
    x = 208,610,514,121/311,908
  6. Step 6: Final answer
    x = 668,820.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.