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Finding the Third Proportional to 286,096.50 and 420,381

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Solution

The third proportional to 286,096.50 and 420,381 is: 617,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,096.50 : 420,381 = 420,381 : x
  2. Step 2: Convert to fraction form
    286,096.50/420,381 = 420,381/x
  3. Step 3: Cross multiply
    286,096.50x = 420,381 × 420,381
  4. Step 4: Simplify right side
    286,096.50x = 176,720,185,161
  5. Step 5: Solve for x
    x = 176,720,185,161/286,096.50
  6. Step 6: Final answer
    x = 617,694.33

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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.