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Finding the Third Proportional to 492,869 and 745,880

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Solution

The third proportional to 492,869 and 745,880 is: 1,128,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,869 : 745,880 = 745,880 : x
  2. Step 2: Convert to fraction form
    492,869/745,880 = 745,880/x
  3. Step 3: Cross multiply
    492,869x = 745,880 × 745,880
  4. Step 4: Simplify right side
    492,869x = 556,336,974,400
  5. Step 5: Solve for x
    x = 556,336,974,400/492,869
  6. Step 6: Final answer
    x = 1,128,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.