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Finding the Third Proportional to 428,408 and 930,564

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Solution

The third proportional to 428,408 and 930,564 is: 2,021,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,408 : 930,564 = 930,564 : x
  2. Step 2: Convert to fraction form
    428,408/930,564 = 930,564/x
  3. Step 3: Cross multiply
    428,408x = 930,564 × 930,564
  4. Step 4: Simplify right side
    428,408x = 865,949,358,096
  5. Step 5: Solve for x
    x = 865,949,358,096/428,408
  6. Step 6: Final answer
    x = 2,021,319.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.