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Finding the Third Proportional to 296,468 and 436,872

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Solution

The third proportional to 296,468 and 436,872 is: 643,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,468 : 436,872 = 436,872 : x
  2. Step 2: Convert to fraction form
    296,468/436,872 = 436,872/x
  3. Step 3: Cross multiply
    296,468x = 436,872 × 436,872
  4. Step 4: Simplify right side
    296,468x = 190,857,144,384
  5. Step 5: Solve for x
    x = 190,857,144,384/296,468
  6. Step 6: Final answer
    x = 643,769.80

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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.