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Finding the Third Proportional to 510,646 and 808,211

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Solution

The third proportional to 510,646 and 808,211 is: 1,279,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,646 : 808,211 = 808,211 : x
  2. Step 2: Convert to fraction form
    510,646/808,211 = 808,211/x
  3. Step 3: Cross multiply
    510,646x = 808,211 × 808,211
  4. Step 4: Simplify right side
    510,646x = 653,205,020,521
  5. Step 5: Solve for x
    x = 653,205,020,521/510,646
  6. Step 6: Final answer
    x = 1,279,173.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.