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Finding the Third Proportional to 282,369 and 418,693.50

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Solution

The third proportional to 282,369 and 418,693.50 is: 620,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369 : 418,693.50 = 418,693.50 : x
  2. Step 2: Convert to fraction form
    282,369/418,693.50 = 418,693.50/x
  3. Step 3: Cross multiply
    282,369x = 418,693.50 × 418,693.50
  4. Step 4: Simplify right side
    282,369x = 175,304,246,942.25
  5. Step 5: Solve for x
    x = 175,304,246,942.25/282,369
  6. Step 6: Final answer
    x = 620,833.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.