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Finding the Third Proportional to 297,238 and 642,956

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Solution

The third proportional to 297,238 and 642,956 is: 1,390,779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,238 : 642,956 = 642,956 : x
  2. Step 2: Convert to fraction form
    297,238/642,956 = 642,956/x
  3. Step 3: Cross multiply
    297,238x = 642,956 × 642,956
  4. Step 4: Simplify right side
    297,238x = 413,392,417,936
  5. Step 5: Solve for x
    x = 413,392,417,936/297,238
  6. Step 6: Final answer
    x = 1,390,779.17

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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.