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Finding the Third Proportional to 338,056 and 734,492

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Solution

The third proportional to 338,056 and 734,492 is: 1,595,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,056 : 734,492 = 734,492 : x
  2. Step 2: Convert to fraction form
    338,056/734,492 = 734,492/x
  3. Step 3: Cross multiply
    338,056x = 734,492 × 734,492
  4. Step 4: Simplify right side
    338,056x = 539,478,498,064
  5. Step 5: Solve for x
    x = 539,478,498,064/338,056
  6. Step 6: Final answer
    x = 1,595,825.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.