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Finding the Third Proportional to 453,869 and 987,574

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Solution

The third proportional to 453,869 and 987,574 is: 2,148,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,869 : 987,574 = 987,574 : x
  2. Step 2: Convert to fraction form
    453,869/987,574 = 987,574/x
  3. Step 3: Cross multiply
    453,869x = 987,574 × 987,574
  4. Step 4: Simplify right side
    453,869x = 975,302,405,476
  5. Step 5: Solve for x
    x = 975,302,405,476/453,869
  6. Step 6: Final answer
    x = 2,148,863.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.