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Finding the Third Proportional to 172,130 and 380,356

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Solution

The third proportional to 172,130 and 380,356 is: 840,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,130 : 380,356 = 380,356 : x
  2. Step 2: Convert to fraction form
    172,130/380,356 = 380,356/x
  3. Step 3: Cross multiply
    172,130x = 380,356 × 380,356
  4. Step 4: Simplify right side
    172,130x = 144,670,686,736
  5. Step 5: Solve for x
    x = 144,670,686,736/172,130
  6. Step 6: Final answer
    x = 840,473.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.