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Finding the Third Proportional to 457,216 and 679,200

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Solution

The third proportional to 457,216 and 679,200 is: 1,008,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,216 : 679,200 = 679,200 : x
  2. Step 2: Convert to fraction form
    457,216/679,200 = 679,200/x
  3. Step 3: Cross multiply
    457,216x = 679,200 × 679,200
  4. Step 4: Simplify right side
    457,216x = 461,312,640,000
  5. Step 5: Solve for x
    x = 461,312,640,000/457,216
  6. Step 6: Final answer
    x = 1,008,959.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.