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Finding the Third Proportional to 512,284 and 1,103,480

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Solution

The third proportional to 512,284 and 1,103,480 is: 2,376,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,284 : 1,103,480 = 1,103,480 : x
  2. Step 2: Convert to fraction form
    512,284/1,103,480 = 1,103,480/x
  3. Step 3: Cross multiply
    512,284x = 1,103,480 × 1,103,480
  4. Step 4: Simplify right side
    512,284x = 1,217,668,110,400
  5. Step 5: Solve for x
    x = 1,217,668,110,400/512,284
  6. Step 6: Final answer
    x = 2,376,939.57

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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.