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Finding the Third Proportional to 421,546 and 913,624

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Solution

The third proportional to 421,546 and 913,624 is: 1,980,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,546 : 913,624 = 913,624 : x
  2. Step 2: Convert to fraction form
    421,546/913,624 = 913,624/x
  3. Step 3: Cross multiply
    421,546x = 913,624 × 913,624
  4. Step 4: Simplify right side
    421,546x = 834,708,813,376
  5. Step 5: Solve for x
    x = 834,708,813,376/421,546
  6. Step 6: Final answer
    x = 1,980,113.23

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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.