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Finding the Third Proportional to 109,470 and 235,310

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Solution

The third proportional to 109,470 and 235,310 is: 505,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,470 : 235,310 = 235,310 : x
  2. Step 2: Convert to fraction form
    109,470/235,310 = 235,310/x
  3. Step 3: Cross multiply
    109,470x = 235,310 × 235,310
  4. Step 4: Simplify right side
    109,470x = 55,370,796,100
  5. Step 5: Solve for x
    x = 55,370,796,100/109,470
  6. Step 6: Final answer
    x = 505,807.95

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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.