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Finding the Third Proportional to 288,456 and 626,667

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Solution

The third proportional to 288,456 and 626,667 is: 1,361,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,456 : 626,667 = 626,667 : x
  2. Step 2: Convert to fraction form
    288,456/626,667 = 626,667/x
  3. Step 3: Cross multiply
    288,456x = 626,667 × 626,667
  4. Step 4: Simplify right side
    288,456x = 392,711,528,889
  5. Step 5: Solve for x
    x = 392,711,528,889/288,456
  6. Step 6: Final answer
    x = 1,361,426.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.