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Finding the Third Proportional to 340,056 and 747,216

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Solution

The third proportional to 340,056 and 747,216 is: 1,641,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,056 : 747,216 = 747,216 : x
  2. Step 2: Convert to fraction form
    340,056/747,216 = 747,216/x
  3. Step 3: Cross multiply
    340,056x = 747,216 × 747,216
  4. Step 4: Simplify right side
    340,056x = 558,331,750,656
  5. Step 5: Solve for x
    x = 558,331,750,656/340,056
  6. Step 6: Final answer
    x = 1,641,881.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.