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Finding the Third Proportional to 434,469 and 921,378

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Solution

The third proportional to 434,469 and 921,378 is: 1,953,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,469 : 921,378 = 921,378 : x
  2. Step 2: Convert to fraction form
    434,469/921,378 = 921,378/x
  3. Step 3: Cross multiply
    434,469x = 921,378 × 921,378
  4. Step 4: Simplify right side
    434,469x = 848,937,418,884
  5. Step 5: Solve for x
    x = 848,937,418,884/434,469
  6. Step 6: Final answer
    x = 1,953,965.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.