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Finding the Third Proportional to 289,470 and 623,238

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Solution

The third proportional to 289,470 and 623,238 is: 1,341,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,470 : 623,238 = 623,238 : x
  2. Step 2: Convert to fraction form
    289,470/623,238 = 623,238/x
  3. Step 3: Cross multiply
    289,470x = 623,238 × 623,238
  4. Step 4: Simplify right side
    289,470x = 388,425,604,644
  5. Step 5: Solve for x
    x = 388,425,604,644/289,470
  6. Step 6: Final answer
    x = 1,341,850.99

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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.