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Finding the Third Proportional to 286,416 and 388,800

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Solution

The third proportional to 286,416 and 388,800 is: 527,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,416 : 388,800 = 388,800 : x
  2. Step 2: Convert to fraction form
    286,416/388,800 = 388,800/x
  3. Step 3: Cross multiply
    286,416x = 388,800 × 388,800
  4. Step 4: Simplify right side
    286,416x = 151,165,440,000
  5. Step 5: Solve for x
    x = 151,165,440,000/286,416
  6. Step 6: Final answer
    x = 527,782.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.