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Finding the Third Proportional to 288,798 and 633,394

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Solution

The third proportional to 288,798 and 633,394 is: 1,389,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,798 : 633,394 = 633,394 : x
  2. Step 2: Convert to fraction form
    288,798/633,394 = 633,394/x
  3. Step 3: Cross multiply
    288,798x = 633,394 × 633,394
  4. Step 4: Simplify right side
    288,798x = 401,187,959,236
  5. Step 5: Solve for x
    x = 401,187,959,236/288,798
  6. Step 6: Final answer
    x = 1,389,164.60

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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.