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Finding the Third Proportional to 728,880 and 1,565,160

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Solution

The third proportional to 728,880 and 1,565,160 is: 3,360,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,880 : 1,565,160 = 1,565,160 : x
  2. Step 2: Convert to fraction form
    728,880/1,565,160 = 1,565,160/x
  3. Step 3: Cross multiply
    728,880x = 1,565,160 × 1,565,160
  4. Step 4: Simplify right side
    728,880x = 2,449,725,825,600
  5. Step 5: Solve for x
    x = 2,449,725,825,600/728,880
  6. Step 6: Final answer
    x = 3,360,945.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.