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Finding the Third Proportional to 289,263 and 632,742

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Solution

The third proportional to 289,263 and 632,742 is: 1,384,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,263 : 632,742 = 632,742 : x
  2. Step 2: Convert to fraction form
    289,263/632,742 = 632,742/x
  3. Step 3: Cross multiply
    289,263x = 632,742 × 632,742
  4. Step 4: Simplify right side
    289,263x = 400,362,438,564
  5. Step 5: Solve for x
    x = 400,362,438,564/289,263
  6. Step 6: Final answer
    x = 1,384,077.60

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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.