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Finding the Third Proportional to 403,790 and 606,656

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Solution

The third proportional to 403,790 and 606,656 is: 911,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,790 : 606,656 = 606,656 : x
  2. Step 2: Convert to fraction form
    403,790/606,656 = 606,656/x
  3. Step 3: Cross multiply
    403,790x = 606,656 × 606,656
  4. Step 4: Simplify right side
    403,790x = 368,031,502,336
  5. Step 5: Solve for x
    x = 368,031,502,336/403,790
  6. Step 6: Final answer
    x = 911,442.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.