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Finding the Third Proportional to 286,086.38 and 420,371.44

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Solution

The third proportional to 286,086.38 and 420,371.44 is: 617,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,086.38 : 420,371.44 = 420,371.44 : x
  2. Step 2: Convert to fraction form
    286,086.38/420,371.44 = 420,371.44/x
  3. Step 3: Cross multiply
    286,086.38x = 420,371.44 × 420,371.44
  4. Step 4: Simplify right side
    286,086.38x = 176,712,145,465.82
  5. Step 5: Solve for x
    x = 176,712,145,465.82/286,086.38
  6. Step 6: Final answer
    x = 617,688.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.