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Finding the Third Proportional to 297,224 and 642,926

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Solution

The third proportional to 297,224 and 642,926 is: 1,390,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,224 : 642,926 = 642,926 : x
  2. Step 2: Convert to fraction form
    297,224/642,926 = 642,926/x
  3. Step 3: Cross multiply
    297,224x = 642,926 × 642,926
  4. Step 4: Simplify right side
    297,224x = 413,353,841,476
  5. Step 5: Solve for x
    x = 413,353,841,476/297,224
  6. Step 6: Final answer
    x = 1,390,714.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.