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Finding the Third Proportional to 989.34 and 1,491.66

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Solution

The third proportional to 989.34 and 1,491.66 is: 2,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.34 : 1,491.66 = 1,491.66 : x
  2. Step 2: Convert to fraction form
    989.34/1,491.66 = 1,491.66/x
  3. Step 3: Cross multiply
    989.34x = 1,491.66 × 1,491.66
  4. Step 4: Simplify right side
    989.34x = 2,225,038.37
  5. Step 5: Solve for x
    x = 2,225,038.37/989.34
  6. Step 6: Final answer
    x = 2,249.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.