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Finding the Third Proportional to 331,826 and 510,321

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Solution

The third proportional to 331,826 and 510,321 is: 784,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,826 : 510,321 = 510,321 : x
  2. Step 2: Convert to fraction form
    331,826/510,321 = 510,321/x
  3. Step 3: Cross multiply
    331,826x = 510,321 × 510,321
  4. Step 4: Simplify right side
    331,826x = 260,427,523,041
  5. Step 5: Solve for x
    x = 260,427,523,041/331,826
  6. Step 6: Final answer
    x = 784,831.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.