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Finding the Third Proportional to 289,526 and 632,632

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Solution

The third proportional to 289,526 and 632,632 is: 1,382,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,526 : 632,632 = 632,632 : x
  2. Step 2: Convert to fraction form
    289,526/632,632 = 632,632/x
  3. Step 3: Cross multiply
    289,526x = 632,632 × 632,632
  4. Step 4: Simplify right side
    289,526x = 400,223,247,424
  5. Step 5: Solve for x
    x = 400,223,247,424/289,526
  6. Step 6: Final answer
    x = 1,382,339.57

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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.