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Finding the Third Proportional to 235,737 and 509,139

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Solution

The third proportional to 235,737 and 509,139 is: 1,099,625.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,737 : 509,139 = 509,139 : x
  2. Step 2: Convert to fraction form
    235,737/509,139 = 509,139/x
  3. Step 3: Cross multiply
    235,737x = 509,139 × 509,139
  4. Step 4: Simplify right side
    235,737x = 259,222,521,321
  5. Step 5: Solve for x
    x = 259,222,521,321/235,737
  6. Step 6: Final answer
    x = 1,099,625.94

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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.