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Finding the Third Proportional to 190,518 and 407,280

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Solution

The third proportional to 190,518 and 407,280 is: 870,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,518 : 407,280 = 407,280 : x
  2. Step 2: Convert to fraction form
    190,518/407,280 = 407,280/x
  3. Step 3: Cross multiply
    190,518x = 407,280 × 407,280
  4. Step 4: Simplify right side
    190,518x = 165,876,998,400
  5. Step 5: Solve for x
    x = 165,876,998,400/190,518
  6. Step 6: Final answer
    x = 870,663.13

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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.