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Finding the Third Proportional to 299,310 and 657,660

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Solution

The third proportional to 299,310 and 657,660 is: 1,445,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,310 : 657,660 = 657,660 : x
  2. Step 2: Convert to fraction form
    299,310/657,660 = 657,660/x
  3. Step 3: Cross multiply
    299,310x = 657,660 × 657,660
  4. Step 4: Simplify right side
    299,310x = 432,516,675,600
  5. Step 5: Solve for x
    x = 432,516,675,600/299,310
  6. Step 6: Final answer
    x = 1,445,045.86

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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.