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Finding the Third Proportional to 513,824 and 790,392

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Solution

The third proportional to 513,824 and 790,392 is: 1,215,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,824 : 790,392 = 790,392 : x
  2. Step 2: Convert to fraction form
    513,824/790,392 = 790,392/x
  3. Step 3: Cross multiply
    513,824x = 790,392 × 790,392
  4. Step 4: Simplify right side
    513,824x = 624,719,513,664
  5. Step 5: Solve for x
    x = 624,719,513,664/513,824
  6. Step 6: Final answer
    x = 1,215,823.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.