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Finding the Third Proportional to 977.70 and 2,109.16

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Solution

The third proportional to 977.70 and 2,109.16 is: 4,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 2,109.16 = 2,109.16 : x
  2. Step 2: Convert to fraction form
    977.70/2,109.16 = 2,109.16/x
  3. Step 3: Cross multiply
    977.70x = 2,109.16 × 2,109.16
  4. Step 4: Simplify right side
    977.70x = 4,448,573.04
  5. Step 5: Solve for x
    x = 4,448,573.04/977.70
  6. Step 6: Final answer
    x = 4,550.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.