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Finding the Third Proportional to 308,449 and 420,209.50

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Solution

The third proportional to 308,449 and 420,209.50 is: 572,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,449 : 420,209.50 = 420,209.50 : x
  2. Step 2: Convert to fraction form
    308,449/420,209.50 = 420,209.50/x
  3. Step 3: Cross multiply
    308,449x = 420,209.50 × 420,209.50
  4. Step 4: Simplify right side
    308,449x = 176,576,023,890.25
  5. Step 5: Solve for x
    x = 176,576,023,890.25/308,449
  6. Step 6: Final answer
    x = 572,464.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.