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Finding the Third Proportional to 311,688 and 455,868

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Solution

The third proportional to 311,688 and 455,868 is: 666,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,688 : 455,868 = 455,868 : x
  2. Step 2: Convert to fraction form
    311,688/455,868 = 455,868/x
  3. Step 3: Cross multiply
    311,688x = 455,868 × 455,868
  4. Step 4: Simplify right side
    311,688x = 207,815,633,424
  5. Step 5: Solve for x
    x = 207,815,633,424/311,688
  6. Step 6: Final answer
    x = 666,742.49

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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.