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Finding the Third Proportional to 398,340 and 609,122.25

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Solution

The third proportional to 398,340 and 609,122.25 is: 931,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,340 : 609,122.25 = 609,122.25 : x
  2. Step 2: Convert to fraction form
    398,340/609,122.25 = 609,122.25/x
  3. Step 3: Cross multiply
    398,340x = 609,122.25 × 609,122.25
  4. Step 4: Simplify right side
    398,340x = 371,029,915,445.06
  5. Step 5: Solve for x
    x = 371,029,915,445.06/398,340
  6. Step 6: Final answer
    x = 931,440.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.