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Finding the Third Proportional to 358,801 and 754,778

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Solution

The third proportional to 358,801 and 754,778 is: 1,587,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,801 : 754,778 = 754,778 : x
  2. Step 2: Convert to fraction form
    358,801/754,778 = 754,778/x
  3. Step 3: Cross multiply
    358,801x = 754,778 × 754,778
  4. Step 4: Simplify right side
    358,801x = 569,689,829,284
  5. Step 5: Solve for x
    x = 569,689,829,284/358,801
  6. Step 6: Final answer
    x = 1,587,759.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.