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Finding the Third Proportional to 331,898 and 510,459

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Solution

The third proportional to 331,898 and 510,459 is: 785,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,898 : 510,459 = 510,459 : x
  2. Step 2: Convert to fraction form
    331,898/510,459 = 510,459/x
  3. Step 3: Cross multiply
    331,898x = 510,459 × 510,459
  4. Step 4: Simplify right side
    331,898x = 260,568,390,681
  5. Step 5: Solve for x
    x = 260,568,390,681/331,898
  6. Step 6: Final answer
    x = 785,085.75

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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.