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Finding the Third Proportional to 432,306 and 690,619

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Solution

The third proportional to 432,306 and 690,619 is: 1,103,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,306 : 690,619 = 690,619 : x
  2. Step 2: Convert to fraction form
    432,306/690,619 = 690,619/x
  3. Step 3: Cross multiply
    432,306x = 690,619 × 690,619
  4. Step 4: Simplify right side
    432,306x = 476,954,603,161
  5. Step 5: Solve for x
    x = 476,954,603,161/432,306
  6. Step 6: Final answer
    x = 1,103,280.09

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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.