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Finding the Third Proportional to 289,464 and 623,226

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Solution

The third proportional to 289,464 and 623,226 is: 1,341,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,464 : 623,226 = 623,226 : x
  2. Step 2: Convert to fraction form
    289,464/623,226 = 623,226/x
  3. Step 3: Cross multiply
    289,464x = 623,226 × 623,226
  4. Step 4: Simplify right side
    289,464x = 388,410,647,076
  5. Step 5: Solve for x
    x = 388,410,647,076/289,464
  6. Step 6: Final answer
    x = 1,341,827.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.