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Finding the Third Proportional to 298,728 and 636,984

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Solution

The third proportional to 298,728 and 636,984 is: 1,358,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,728 : 636,984 = 636,984 : x
  2. Step 2: Convert to fraction form
    298,728/636,984 = 636,984/x
  3. Step 3: Cross multiply
    298,728x = 636,984 × 636,984
  4. Step 4: Simplify right side
    298,728x = 405,748,616,256
  5. Step 5: Solve for x
    x = 405,748,616,256/298,728
  6. Step 6: Final answer
    x = 1,358,254.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.