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Finding the Third Proportional to 170,240 and 269,438

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Solution

The third proportional to 170,240 and 269,438 is: 426,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,240 : 269,438 = 269,438 : x
  2. Step 2: Convert to fraction form
    170,240/269,438 = 269,438/x
  3. Step 3: Cross multiply
    170,240x = 269,438 × 269,438
  4. Step 4: Simplify right side
    170,240x = 72,596,835,844
  5. Step 5: Solve for x
    x = 72,596,835,844/170,240
  6. Step 6: Final answer
    x = 426,438.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.