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Finding the Third Proportional to 311,909 and 456,742

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Solution

The third proportional to 311,909 and 456,742 is: 668,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,909 : 456,742 = 456,742 : x
  2. Step 2: Convert to fraction form
    311,909/456,742 = 456,742/x
  3. Step 3: Cross multiply
    311,909x = 456,742 × 456,742
  4. Step 4: Simplify right side
    311,909x = 208,613,254,564
  5. Step 5: Solve for x
    x = 208,613,254,564/311,909
  6. Step 6: Final answer
    x = 668,827.30

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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.