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Finding the Third Proportional to 512,900 and 804,560

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Solution

The third proportional to 512,900 and 804,560 is: 1,262,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,900 : 804,560 = 804,560 : x
  2. Step 2: Convert to fraction form
    512,900/804,560 = 804,560/x
  3. Step 3: Cross multiply
    512,900x = 804,560 × 804,560
  4. Step 4: Simplify right side
    512,900x = 647,316,793,600
  5. Step 5: Solve for x
    x = 647,316,793,600/512,900
  6. Step 6: Final answer
    x = 1,262,072.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.