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Finding the Third Proportional to 429.38 and 977.81

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Solution

The third proportional to 429.38 and 977.81 is: 2,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.38 : 977.81 = 977.81 : x
  2. Step 2: Convert to fraction form
    429.38/977.81 = 977.81/x
  3. Step 3: Cross multiply
    429.38x = 977.81 × 977.81
  4. Step 4: Simplify right side
    429.38x = 956,117.29
  5. Step 5: Solve for x
    x = 956,117.29/429.38
  6. Step 6: Final answer
    x = 2,226.77

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.