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Finding the Third Proportional to 288,576 and 626,438

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Solution

The third proportional to 288,576 and 626,438 is: 1,359,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,576 : 626,438 = 626,438 : x
  2. Step 2: Convert to fraction form
    288,576/626,438 = 626,438/x
  3. Step 3: Cross multiply
    288,576x = 626,438 × 626,438
  4. Step 4: Simplify right side
    288,576x = 392,424,567,844
  5. Step 5: Solve for x
    x = 392,424,567,844/288,576
  6. Step 6: Final answer
    x = 1,359,865.57

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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.