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Finding the Third Proportional to 362,558 and 509,655

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Solution

The third proportional to 362,558 and 509,655 is: 716,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,558 : 509,655 = 509,655 : x
  2. Step 2: Convert to fraction form
    362,558/509,655 = 509,655/x
  3. Step 3: Cross multiply
    362,558x = 509,655 × 509,655
  4. Step 4: Simplify right side
    362,558x = 259,748,219,025
  5. Step 5: Solve for x
    x = 259,748,219,025/362,558
  6. Step 6: Final answer
    x = 716,432.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.