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Finding the Third Proportional to 297,156 and 648,520

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Solution

The third proportional to 297,156 and 648,520 is: 1,415,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,156 : 648,520 = 648,520 : x
  2. Step 2: Convert to fraction form
    297,156/648,520 = 648,520/x
  3. Step 3: Cross multiply
    297,156x = 648,520 × 648,520
  4. Step 4: Simplify right side
    297,156x = 420,578,190,400
  5. Step 5: Solve for x
    x = 420,578,190,400/297,156
  6. Step 6: Final answer
    x = 1,415,344.77

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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.