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Finding the Third Proportional to 410,302 and 853,220

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Solution

The third proportional to 410,302 and 853,220 is: 1,774,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,302 : 853,220 = 853,220 : x
  2. Step 2: Convert to fraction form
    410,302/853,220 = 853,220/x
  3. Step 3: Cross multiply
    410,302x = 853,220 × 853,220
  4. Step 4: Simplify right side
    410,302x = 727,984,368,400
  5. Step 5: Solve for x
    x = 727,984,368,400/410,302
  6. Step 6: Final answer
    x = 1,774,264.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.