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Finding the Third Proportional to 297,192 and 648,576

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Solution

The third proportional to 297,192 and 648,576 is: 1,415,417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,192 : 648,576 = 648,576 : x
  2. Step 2: Convert to fraction form
    297,192/648,576 = 648,576/x
  3. Step 3: Cross multiply
    297,192x = 648,576 × 648,576
  4. Step 4: Simplify right side
    297,192x = 420,650,827,776
  5. Step 5: Solve for x
    x = 420,650,827,776/297,192
  6. Step 6: Final answer
    x = 1,415,417.74

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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.