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Finding the Third Proportional to 213,666 and 309,475

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Solution

The third proportional to 213,666 and 309,475 is: 448,245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,666 : 309,475 = 309,475 : x
  2. Step 2: Convert to fraction form
    213,666/309,475 = 309,475/x
  3. Step 3: Cross multiply
    213,666x = 309,475 × 309,475
  4. Step 4: Simplify right side
    213,666x = 95,774,775,625
  5. Step 5: Solve for x
    x = 95,774,775,625/213,666
  6. Step 6: Final answer
    x = 448,245.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.