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Finding the Third Proportional to 296,256 and 646,704

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Solution

The third proportional to 296,256 and 646,704 is: 1,411,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,256 : 646,704 = 646,704 : x
  2. Step 2: Convert to fraction form
    296,256/646,704 = 646,704/x
  3. Step 3: Cross multiply
    296,256x = 646,704 × 646,704
  4. Step 4: Simplify right side
    296,256x = 418,226,063,616
  5. Step 5: Solve for x
    x = 418,226,063,616/296,256
  6. Step 6: Final answer
    x = 1,411,704.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.