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Finding the Third Proportional to 450,028 and 657,268

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Solution

The third proportional to 450,028 and 657,268 is: 959,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,028 : 657,268 = 657,268 : x
  2. Step 2: Convert to fraction form
    450,028/657,268 = 657,268/x
  3. Step 3: Cross multiply
    450,028x = 657,268 × 657,268
  4. Step 4: Simplify right side
    450,028x = 432,001,223,824
  5. Step 5: Solve for x
    x = 432,001,223,824/450,028
  6. Step 6: Final answer
    x = 959,942.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.