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Finding the Third Proportional to 410,420 and 616,818

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Solution

The third proportional to 410,420 and 616,818 is: 927,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,420 : 616,818 = 616,818 : x
  2. Step 2: Convert to fraction form
    410,420/616,818 = 616,818/x
  3. Step 3: Cross multiply
    410,420x = 616,818 × 616,818
  4. Step 4: Simplify right side
    410,420x = 380,464,445,124
  5. Step 5: Solve for x
    x = 380,464,445,124/410,420
  6. Step 6: Final answer
    x = 927,012.44

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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.