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Finding the Third Proportional to 340,898 and 509,403

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Solution

The third proportional to 340,898 and 509,403 is: 761,199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,898 : 509,403 = 509,403 : x
  2. Step 2: Convert to fraction form
    340,898/509,403 = 509,403/x
  3. Step 3: Cross multiply
    340,898x = 509,403 × 509,403
  4. Step 4: Simplify right side
    340,898x = 259,491,416,409
  5. Step 5: Solve for x
    x = 259,491,416,409/340,898
  6. Step 6: Final answer
    x = 761,199.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.