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Finding the Third Proportional to 512,920 and 804,590

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Solution

The third proportional to 512,920 and 804,590 is: 1,262,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,920 : 804,590 = 804,590 : x
  2. Step 2: Convert to fraction form
    512,920/804,590 = 804,590/x
  3. Step 3: Cross multiply
    512,920x = 804,590 × 804,590
  4. Step 4: Simplify right side
    512,920x = 647,365,068,100
  5. Step 5: Solve for x
    x = 647,365,068,100/512,920
  6. Step 6: Final answer
    x = 1,262,117.03

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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.