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Finding the Third Proportional to 510,648 and 808,214

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Solution

The third proportional to 510,648 and 808,214 is: 1,279,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,648 : 808,214 = 808,214 : x
  2. Step 2: Convert to fraction form
    510,648/808,214 = 808,214/x
  3. Step 3: Cross multiply
    510,648x = 808,214 × 808,214
  4. Step 4: Simplify right side
    510,648x = 653,209,869,796
  5. Step 5: Solve for x
    x = 653,209,869,796/510,648
  6. Step 6: Final answer
    x = 1,279,178.36

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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.