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Finding the Third Proportional to 235,584 and 512,640

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Solution

The third proportional to 235,584 and 512,640 is: 1,115,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,584 : 512,640 = 512,640 : x
  2. Step 2: Convert to fraction form
    235,584/512,640 = 512,640/x
  3. Step 3: Cross multiply
    235,584x = 512,640 × 512,640
  4. Step 4: Simplify right side
    235,584x = 262,799,769,600
  5. Step 5: Solve for x
    x = 262,799,769,600/235,584
  6. Step 6: Final answer
    x = 1,115,524.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.