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Finding the Third Proportional to 299,308 and 657,656

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Solution

The third proportional to 299,308 and 657,656 is: 1,445,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,308 : 657,656 = 657,656 : x
  2. Step 2: Convert to fraction form
    299,308/657,656 = 657,656/x
  3. Step 3: Cross multiply
    299,308x = 657,656 × 657,656
  4. Step 4: Simplify right side
    299,308x = 432,511,414,336
  5. Step 5: Solve for x
    x = 432,511,414,336/299,308
  6. Step 6: Final answer
    x = 1,445,037.94

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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.