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Finding the Third Proportional to 802,746 and 1,100,784

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Solution

The third proportional to 802,746 and 1,100,784 is: 1,509,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,746 : 1,100,784 = 1,100,784 : x
  2. Step 2: Convert to fraction form
    802,746/1,100,784 = 1,100,784/x
  3. Step 3: Cross multiply
    802,746x = 1,100,784 × 1,100,784
  4. Step 4: Simplify right side
    802,746x = 1,211,725,414,656
  5. Step 5: Solve for x
    x = 1,211,725,414,656/802,746
  6. Step 6: Final answer
    x = 1,509,475.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.