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Finding the Third Proportional to 642,072 and 980,204

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Solution

The third proportional to 642,072 and 980,204 is: 1,496,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,072 : 980,204 = 980,204 : x
  2. Step 2: Convert to fraction form
    642,072/980,204 = 980,204/x
  3. Step 3: Cross multiply
    642,072x = 980,204 × 980,204
  4. Step 4: Simplify right side
    642,072x = 960,799,881,616
  5. Step 5: Solve for x
    x = 960,799,881,616/642,072
  6. Step 6: Final answer
    x = 1,496,405.20

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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.