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Finding the Third Proportional to 288,822 and 633,444

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Solution

The third proportional to 288,822 and 633,444 is: 1,389,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,822 : 633,444 = 633,444 : x
  2. Step 2: Convert to fraction form
    288,822/633,444 = 633,444/x
  3. Step 3: Cross multiply
    288,822x = 633,444 × 633,444
  4. Step 4: Simplify right side
    288,822x = 401,251,301,136
  5. Step 5: Solve for x
    x = 401,251,301,136/288,822
  6. Step 6: Final answer
    x = 1,389,268.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.