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Finding the Third Proportional to 362,565 and 509,665

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Solution

The third proportional to 362,565 and 509,665 is: 716,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565 : 509,665 = 509,665 : x
  2. Step 2: Convert to fraction form
    362,565/509,665 = 509,665/x
  3. Step 3: Cross multiply
    362,565x = 509,665 × 509,665
  4. Step 4: Simplify right side
    362,565x = 259,758,412,225
  5. Step 5: Solve for x
    x = 259,758,412,225/362,565
  6. Step 6: Final answer
    x = 716,446.46

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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.