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Finding the Third Proportional to 355,000 and 772,208

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Solution

The third proportional to 355,000 and 772,208 is: 1,679,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,000 : 772,208 = 772,208 : x
  2. Step 2: Convert to fraction form
    355,000/772,208 = 772,208/x
  3. Step 3: Cross multiply
    355,000x = 772,208 × 772,208
  4. Step 4: Simplify right side
    355,000x = 596,305,195,264
  5. Step 5: Solve for x
    x = 596,305,195,264/355,000
  6. Step 6: Final answer
    x = 1,679,732.94

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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.