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Finding the Third Proportional to 70,584 and 155,640

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Solution

The third proportional to 70,584 and 155,640 is: 343,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584 : 155,640 = 155,640 : x
  2. Step 2: Convert to fraction form
    70,584/155,640 = 155,640/x
  3. Step 3: Cross multiply
    70,584x = 155,640 × 155,640
  4. Step 4: Simplify right side
    70,584x = 24,223,809,600
  5. Step 5: Solve for x
    x = 24,223,809,600/70,584
  6. Step 6: Final answer
    x = 343,191.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.