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Finding the Third Proportional to 190,552 and 407,358

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Solution

The third proportional to 190,552 and 407,358 is: 870,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,552 : 407,358 = 407,358 : x
  2. Step 2: Convert to fraction form
    190,552/407,358 = 407,358/x
  3. Step 3: Cross multiply
    190,552x = 407,358 × 407,358
  4. Step 4: Simplify right side
    190,552x = 165,940,540,164
  5. Step 5: Solve for x
    x = 165,940,540,164/190,552
  6. Step 6: Final answer
    x = 870,841.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.