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Finding the Third Proportional to 999.21 and 1,564.00

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Solution

The third proportional to 999.21 and 1,564.00 is: 2,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.21 : 1,564.00 = 1,564.00 : x
  2. Step 2: Convert to fraction form
    999.21/1,564.00 = 1,564.00/x
  3. Step 3: Cross multiply
    999.21x = 1,564.00 × 1,564.00
  4. Step 4: Simplify right side
    999.21x = 2,446,083.78
  5. Step 5: Solve for x
    x = 2,446,083.78/999.21
  6. Step 6: Final answer
    x = 2,448.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.