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Finding the Third Proportional to 109,470 and 235,311

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Solution

The third proportional to 109,470 and 235,311 is: 505,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,470 : 235,311 = 235,311 : x
  2. Step 2: Convert to fraction form
    109,470/235,311 = 235,311/x
  3. Step 3: Cross multiply
    109,470x = 235,311 × 235,311
  4. Step 4: Simplify right side
    109,470x = 55,371,266,721
  5. Step 5: Solve for x
    x = 55,371,266,721/109,470
  6. Step 6: Final answer
    x = 505,812.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.