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Finding the Third Proportional to 418,207.50 and 890,359.50

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Solution

The third proportional to 418,207.50 and 890,359.50 is: 1,895,566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,207.50 : 890,359.50 = 890,359.50 : x
  2. Step 2: Convert to fraction form
    418,207.50/890,359.50 = 890,359.50/x
  3. Step 3: Cross multiply
    418,207.50x = 890,359.50 × 890,359.50
  4. Step 4: Simplify right side
    418,207.50x = 792,740,039,240.25
  5. Step 5: Solve for x
    x = 792,740,039,240.25/418,207.50
  6. Step 6: Final answer
    x = 1,895,566.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.