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Finding the Third Proportional to 977.70 and 2,097.77

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Solution

The third proportional to 977.70 and 2,097.77 is: 4,501.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.70 : 2,097.77 = 2,097.77 : x
  2. Step 2: Convert to fraction form
    977.70/2,097.77 = 2,097.77/x
  3. Step 3: Cross multiply
    977.70x = 2,097.77 × 2,097.77
  4. Step 4: Simplify right side
    977.70x = 4,400,653.40
  5. Step 5: Solve for x
    x = 4,400,653.40/977.70
  6. Step 6: Final answer
    x = 4,501.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.