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Finding the Third Proportional to 777,503 and 1,160,256

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Solution

The third proportional to 777,503 and 1,160,256 is: 1,731,432.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,503 : 1,160,256 = 1,160,256 : x
  2. Step 2: Convert to fraction form
    777,503/1,160,256 = 1,160,256/x
  3. Step 3: Cross multiply
    777,503x = 1,160,256 × 1,160,256
  4. Step 4: Simplify right side
    777,503x = 1,346,193,985,536
  5. Step 5: Solve for x
    x = 1,346,193,985,536/777,503
  6. Step 6: Final answer
    x = 1,731,432.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.