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Finding the Third Proportional to 350,160 and 543,240

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Solution

The third proportional to 350,160 and 543,240 is: 842,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,160 : 543,240 = 543,240 : x
  2. Step 2: Convert to fraction form
    350,160/543,240 = 543,240/x
  3. Step 3: Cross multiply
    350,160x = 543,240 × 543,240
  4. Step 4: Simplify right side
    350,160x = 295,109,697,600
  5. Step 5: Solve for x
    x = 295,109,697,600/350,160
  6. Step 6: Final answer
    x = 842,785.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.