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Finding the Third Proportional to 355,638 and 772,328

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Solution

The third proportional to 355,638 and 772,328 is: 1,677,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,638 : 772,328 = 772,328 : x
  2. Step 2: Convert to fraction form
    355,638/772,328 = 772,328/x
  3. Step 3: Cross multiply
    355,638x = 772,328 × 772,328
  4. Step 4: Simplify right side
    355,638x = 596,490,539,584
  5. Step 5: Solve for x
    x = 596,490,539,584/355,638
  6. Step 6: Final answer
    x = 1,677,240.73

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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.