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Finding the Third Proportional to 292,596 and 638,808

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Solution

The third proportional to 292,596 and 638,808 is: 1,394,672.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,596 : 638,808 = 638,808 : x
  2. Step 2: Convert to fraction form
    292,596/638,808 = 638,808/x
  3. Step 3: Cross multiply
    292,596x = 638,808 × 638,808
  4. Step 4: Simplify right side
    292,596x = 408,075,660,864
  5. Step 5: Solve for x
    x = 408,075,660,864/292,596
  6. Step 6: Final answer
    x = 1,394,672.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.