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Finding the Third Proportional to 288,791 and 633,382

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Solution

The third proportional to 288,791 and 633,382 is: 1,389,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,791 : 633,382 = 633,382 : x
  2. Step 2: Convert to fraction form
    288,791/633,382 = 633,382/x
  3. Step 3: Cross multiply
    288,791x = 633,382 × 633,382
  4. Step 4: Simplify right side
    288,791x = 401,172,757,924
  5. Step 5: Solve for x
    x = 401,172,757,924/288,791
  6. Step 6: Final answer
    x = 1,389,145.64

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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.