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Finding the Third Proportional to 375,217 and 820,498

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Solution

The third proportional to 375,217 and 820,498 is: 1,794,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,217 : 820,498 = 820,498 : x
  2. Step 2: Convert to fraction form
    375,217/820,498 = 820,498/x
  3. Step 3: Cross multiply
    375,217x = 820,498 × 820,498
  4. Step 4: Simplify right side
    375,217x = 673,216,968,004
  5. Step 5: Solve for x
    x = 673,216,968,004/375,217
  6. Step 6: Final answer
    x = 1,794,207.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.