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Finding the Third Proportional to 421,137 and 913,202

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Solution

The third proportional to 421,137 and 913,202 is: 1,980,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,137 : 913,202 = 913,202 : x
  2. Step 2: Convert to fraction form
    421,137/913,202 = 913,202/x
  3. Step 3: Cross multiply
    421,137x = 913,202 × 913,202
  4. Step 4: Simplify right side
    421,137x = 833,937,892,804
  5. Step 5: Solve for x
    x = 833,937,892,804/421,137
  6. Step 6: Final answer
    x = 1,980,205.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.