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Finding the Third Proportional to 977.70 and 2,069.30

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Solution

The third proportional to 977.70 and 2,069.30 is: 4,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 2,069.30 = 2,069.30 : x
  2. Step 2: Convert to fraction form
    977.70/2,069.30 = 2,069.30/x
  3. Step 3: Cross multiply
    977.70x = 2,069.30 × 2,069.30
  4. Step 4: Simplify right side
    977.70x = 4,281,989.56
  5. Step 5: Solve for x
    x = 4,281,989.56/977.70
  6. Step 6: Final answer
    x = 4,379.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.