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Finding the Third Proportional to 115,120 and 155,528

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Solution

The third proportional to 115,120 and 155,528 is: 210,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,120 : 155,528 = 155,528 : x
  2. Step 2: Convert to fraction form
    115,120/155,528 = 155,528/x
  3. Step 3: Cross multiply
    115,120x = 155,528 × 155,528
  4. Step 4: Simplify right side
    115,120x = 24,188,958,784
  5. Step 5: Solve for x
    x = 24,188,958,784/115,120
  6. Step 6: Final answer
    x = 210,119.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.