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Finding the Third Proportional to 286,116 and 420,405

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Solution

The third proportional to 286,116 and 420,405 is: 617,722.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,116 : 420,405 = 420,405 : x
  2. Step 2: Convert to fraction form
    286,116/420,405 = 420,405/x
  3. Step 3: Cross multiply
    286,116x = 420,405 × 420,405
  4. Step 4: Simplify right side
    286,116x = 176,740,364,025
  5. Step 5: Solve for x
    x = 176,740,364,025/286,116
  6. Step 6: Final answer
    x = 617,722.76

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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.