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Finding the Third Proportional to 296,715 and 642,678

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Solution

The third proportional to 296,715 and 642,678 is: 1,392,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,715 : 642,678 = 642,678 : x
  2. Step 2: Convert to fraction form
    296,715/642,678 = 642,678/x
  3. Step 3: Cross multiply
    296,715x = 642,678 × 642,678
  4. Step 4: Simplify right side
    296,715x = 413,035,011,684
  5. Step 5: Solve for x
    x = 413,035,011,684/296,715
  6. Step 6: Final answer
    x = 1,392,026.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.