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Finding the Third Proportional to 408,070 and 612,108

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Solution

The third proportional to 408,070 and 612,108 is: 918,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070 : 612,108 = 612,108 : x
  2. Step 2: Convert to fraction form
    408,070/612,108 = 612,108/x
  3. Step 3: Cross multiply
    408,070x = 612,108 × 612,108
  4. Step 4: Simplify right side
    408,070x = 374,676,203,664
  5. Step 5: Solve for x
    x = 374,676,203,664/408,070
  6. Step 6: Final answer
    x = 918,166.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.