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Finding the Third Proportional to 213,650 and 309,459

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Solution

The third proportional to 213,650 and 309,459 is: 448,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,650 : 309,459 = 309,459 : x
  2. Step 2: Convert to fraction form
    213,650/309,459 = 309,459/x
  3. Step 3: Cross multiply
    213,650x = 309,459 × 309,459
  4. Step 4: Simplify right side
    213,650x = 95,764,872,681
  5. Step 5: Solve for x
    x = 95,764,872,681/213,650
  6. Step 6: Final answer
    x = 448,232.50

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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.