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Finding the Third Proportional to 318,256 and 695,560

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Solution

The third proportional to 318,256 and 695,560 is: 1,520,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,256 : 695,560 = 695,560 : x
  2. Step 2: Convert to fraction form
    318,256/695,560 = 695,560/x
  3. Step 3: Cross multiply
    318,256x = 695,560 × 695,560
  4. Step 4: Simplify right side
    318,256x = 483,803,713,600
  5. Step 5: Solve for x
    x = 483,803,713,600/318,256
  6. Step 6: Final answer
    x = 1,520,171.54

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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.