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Finding the Third Proportional to 510,642 and 808,203

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Solution

The third proportional to 510,642 and 808,203 is: 1,279,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,642 : 808,203 = 808,203 : x
  2. Step 2: Convert to fraction form
    510,642/808,203 = 808,203/x
  3. Step 3: Cross multiply
    510,642x = 808,203 × 808,203
  4. Step 4: Simplify right side
    510,642x = 653,192,089,209
  5. Step 5: Solve for x
    x = 653,192,089,209/510,642
  6. Step 6: Final answer
    x = 1,279,158.57

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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.