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Finding the Third Proportional to 236,390 and 510,670

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Solution

The third proportional to 236,390 and 510,670 is: 1,103,193.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,390 : 510,670 = 510,670 : x
  2. Step 2: Convert to fraction form
    236,390/510,670 = 510,670/x
  3. Step 3: Cross multiply
    236,390x = 510,670 × 510,670
  4. Step 4: Simplify right side
    236,390x = 260,783,848,900
  5. Step 5: Solve for x
    x = 260,783,848,900/236,390
  6. Step 6: Final answer
    x = 1,103,193.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.