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Finding the Third Proportional to 376,856 and 808,312

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Solution

The third proportional to 376,856 and 808,312 is: 1,733,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,856 : 808,312 = 808,312 : x
  2. Step 2: Convert to fraction form
    376,856/808,312 = 808,312/x
  3. Step 3: Cross multiply
    376,856x = 808,312 × 808,312
  4. Step 4: Simplify right side
    376,856x = 653,368,289,344
  5. Step 5: Solve for x
    x = 653,368,289,344/376,856
  6. Step 6: Final answer
    x = 1,733,734.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.