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Finding the Third Proportional to 432,322 and 690,642

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Solution

The third proportional to 432,322 and 690,642 is: 1,103,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,322 : 690,642 = 690,642 : x
  2. Step 2: Convert to fraction form
    432,322/690,642 = 690,642/x
  3. Step 3: Cross multiply
    432,322x = 690,642 × 690,642
  4. Step 4: Simplify right side
    432,322x = 476,986,372,164
  5. Step 5: Solve for x
    x = 476,986,372,164/432,322
  6. Step 6: Final answer
    x = 1,103,312.74

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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.