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Finding the Third Proportional to 131,528 and 318,021

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Solution

The third proportional to 131,528 and 318,021 is: 768,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,528 : 318,021 = 318,021 : x
  2. Step 2: Convert to fraction form
    131,528/318,021 = 318,021/x
  3. Step 3: Cross multiply
    131,528x = 318,021 × 318,021
  4. Step 4: Simplify right side
    131,528x = 101,137,356,441
  5. Step 5: Solve for x
    x = 101,137,356,441/131,528
  6. Step 6: Final answer
    x = 768,941.64

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.