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Finding the Third Proportional to 286,800 and 623,352

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Solution

The third proportional to 286,800 and 623,352 is: 1,354,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,800 : 623,352 = 623,352 : x
  2. Step 2: Convert to fraction form
    286,800/623,352 = 623,352/x
  3. Step 3: Cross multiply
    286,800x = 623,352 × 623,352
  4. Step 4: Simplify right side
    286,800x = 388,567,715,904
  5. Step 5: Solve for x
    x = 388,567,715,904/286,800
  6. Step 6: Final answer
    x = 1,354,838.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.