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Finding the Third Proportional to 286,242 and 420,612

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Solution

The third proportional to 286,242 and 420,612 is: 618,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,242 : 420,612 = 420,612 : x
  2. Step 2: Convert to fraction form
    286,242/420,612 = 420,612/x
  3. Step 3: Cross multiply
    286,242x = 420,612 × 420,612
  4. Step 4: Simplify right side
    286,242x = 176,914,454,544
  5. Step 5: Solve for x
    x = 176,914,454,544/286,242
  6. Step 6: Final answer
    x = 618,059.04

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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.