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Finding the Third Proportional to 364,420 and 509,586

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Solution

The third proportional to 364,420 and 509,586 is: 712,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,420 : 509,586 = 509,586 : x
  2. Step 2: Convert to fraction form
    364,420/509,586 = 509,586/x
  3. Step 3: Cross multiply
    364,420x = 509,586 × 509,586
  4. Step 4: Simplify right side
    364,420x = 259,677,891,396
  5. Step 5: Solve for x
    x = 259,677,891,396/364,420
  6. Step 6: Final answer
    x = 712,578.59

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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.