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Finding the Third Proportional to 212,327 and 297,623

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Solution

The third proportional to 212,327 and 297,623 is: 417,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,327 : 297,623 = 297,623 : x
  2. Step 2: Convert to fraction form
    212,327/297,623 = 297,623/x
  3. Step 3: Cross multiply
    212,327x = 297,623 × 297,623
  4. Step 4: Simplify right side
    212,327x = 88,579,450,129
  5. Step 5: Solve for x
    x = 88,579,450,129/212,327
  6. Step 6: Final answer
    x = 417,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.