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Finding the Third Proportional to 299,392 and 657,824

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Solution

The third proportional to 299,392 and 657,824 is: 1,445,370.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,392 : 657,824 = 657,824 : x
  2. Step 2: Convert to fraction form
    299,392/657,824 = 657,824/x
  3. Step 3: Cross multiply
    299,392x = 657,824 × 657,824
  4. Step 4: Simplify right side
    299,392x = 432,732,414,976
  5. Step 5: Solve for x
    x = 432,732,414,976/299,392
  6. Step 6: Final answer
    x = 1,445,370.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.