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Finding the Third Proportional to 364,404 and 509,562

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Solution

The third proportional to 364,404 and 509,562 is: 712,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,404 : 509,562 = 509,562 : x
  2. Step 2: Convert to fraction form
    364,404/509,562 = 509,562/x
  3. Step 3: Cross multiply
    364,404x = 509,562 × 509,562
  4. Step 4: Simplify right side
    364,404x = 259,653,431,844
  5. Step 5: Solve for x
    x = 259,653,431,844/364,404
  6. Step 6: Final answer
    x = 712,542.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.