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Finding the Third Proportional to 913.50 and 1,980.77

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Solution

The third proportional to 913.50 and 1,980.77 is: 4,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,980.77 = 1,980.77 : x
  2. Step 2: Convert to fraction form
    913.50/1,980.77 = 1,980.77/x
  3. Step 3: Cross multiply
    913.50x = 1,980.77 × 1,980.77
  4. Step 4: Simplify right side
    913.50x = 3,923,463.41
  5. Step 5: Solve for x
    x = 3,923,463.41/913.50
  6. Step 6: Final answer
    x = 4,294.98

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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.