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Finding the Third Proportional to 320,000 and 700,256

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Solution

The third proportional to 320,000 and 700,256 is: 1,532,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,000 : 700,256 = 700,256 : x
  2. Step 2: Convert to fraction form
    320,000/700,256 = 700,256/x
  3. Step 3: Cross multiply
    320,000x = 700,256 × 700,256
  4. Step 4: Simplify right side
    320,000x = 490,358,465,536
  5. Step 5: Solve for x
    x = 490,358,465,536/320,000
  6. Step 6: Final answer
    x = 1,532,370.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.