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Finding the Third Proportional to 288,578 and 626,442

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Solution

The third proportional to 288,578 and 626,442 is: 1,359,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,578 : 626,442 = 626,442 : x
  2. Step 2: Convert to fraction form
    288,578/626,442 = 626,442/x
  3. Step 3: Cross multiply
    288,578x = 626,442 × 626,442
  4. Step 4: Simplify right side
    288,578x = 392,429,579,364
  5. Step 5: Solve for x
    x = 392,429,579,364/288,578
  6. Step 6: Final answer
    x = 1,359,873.52

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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.