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Finding the Third Proportional to 299,308 and 665,047

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Solution

The third proportional to 299,308 and 665,047 is: 1,477,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,308 : 665,047 = 665,047 : x
  2. Step 2: Convert to fraction form
    299,308/665,047 = 665,047/x
  3. Step 3: Cross multiply
    299,308x = 665,047 × 665,047
  4. Step 4: Simplify right side
    299,308x = 442,287,512,209
  5. Step 5: Solve for x
    x = 442,287,512,209/299,308
  6. Step 6: Final answer
    x = 1,477,700.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.