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Finding the Third Proportional to 190,590 and 407,412

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Solution

The third proportional to 190,590 and 407,412 is: 870,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,590 : 407,412 = 407,412 : x
  2. Step 2: Convert to fraction form
    190,590/407,412 = 407,412/x
  3. Step 3: Cross multiply
    190,590x = 407,412 × 407,412
  4. Step 4: Simplify right side
    190,590x = 165,984,537,744
  5. Step 5: Solve for x
    x = 165,984,537,744/190,590
  6. Step 6: Final answer
    x = 870,898.46

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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.