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Finding the Third Proportional to 647.06 and 989.81

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Solution

The third proportional to 647.06 and 989.81 is: 1,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.06 : 989.81 = 989.81 : x
  2. Step 2: Convert to fraction form
    647.06/989.81 = 989.81/x
  3. Step 3: Cross multiply
    647.06x = 989.81 × 989.81
  4. Step 4: Simplify right side
    647.06x = 979,728.79
  5. Step 5: Solve for x
    x = 979,728.79/647.06
  6. Step 6: Final answer
    x = 1,514.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.