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Finding the Third Proportional to 311,657 and 666,514

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Solution

The third proportional to 311,657 and 666,514 is: 1,425,416.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,657 : 666,514 = 666,514 : x
  2. Step 2: Convert to fraction form
    311,657/666,514 = 666,514/x
  3. Step 3: Cross multiply
    311,657x = 666,514 × 666,514
  4. Step 4: Simplify right side
    311,657x = 444,240,912,196
  5. Step 5: Solve for x
    x = 444,240,912,196/311,657
  6. Step 6: Final answer
    x = 1,425,416.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.