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Finding the Third Proportional to 409,898.50 and 890,717

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Solution

The third proportional to 409,898.50 and 890,717 is: 1,935,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,898.50 : 890,717 = 890,717 : x
  2. Step 2: Convert to fraction form
    409,898.50/890,717 = 890,717/x
  3. Step 3: Cross multiply
    409,898.50x = 890,717 × 890,717
  4. Step 4: Simplify right side
    409,898.50x = 793,376,774,089
  5. Step 5: Solve for x
    x = 793,376,774,089/409,898.50
  6. Step 6: Final answer
    x = 1,935,544.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.