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Finding the Third Proportional to 432,308 and 690,622

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Solution

The third proportional to 432,308 and 690,622 is: 1,103,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,308 : 690,622 = 690,622 : x
  2. Step 2: Convert to fraction form
    432,308/690,622 = 690,622/x
  3. Step 3: Cross multiply
    432,308x = 690,622 × 690,622
  4. Step 4: Simplify right side
    432,308x = 476,958,746,884
  5. Step 5: Solve for x
    x = 476,958,746,884/432,308
  6. Step 6: Final answer
    x = 1,103,284.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.