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Finding the Third Proportional to 299,396 and 657,832

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Solution

The third proportional to 299,396 and 657,832 is: 1,445,386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,396 : 657,832 = 657,832 : x
  2. Step 2: Convert to fraction form
    299,396/657,832 = 657,832/x
  3. Step 3: Cross multiply
    299,396x = 657,832 × 657,832
  4. Step 4: Simplify right side
    299,396x = 432,742,940,224
  5. Step 5: Solve for x
    x = 432,742,940,224/299,396
  6. Step 6: Final answer
    x = 1,445,386.51

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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.