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Finding the Third Proportional to 423,672 and 612,108

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Solution

The third proportional to 423,672 and 612,108 is: 884,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,672 : 612,108 = 612,108 : x
  2. Step 2: Convert to fraction form
    423,672/612,108 = 612,108/x
  3. Step 3: Cross multiply
    423,672x = 612,108 × 612,108
  4. Step 4: Simplify right side
    423,672x = 374,676,203,664
  5. Step 5: Solve for x
    x = 374,676,203,664/423,672
  6. Step 6: Final answer
    x = 884,354.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.