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Finding the Third Proportional to 190,299 and 392,118

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Solution

The third proportional to 190,299 and 392,118 is: 807,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,299 : 392,118 = 392,118 : x
  2. Step 2: Convert to fraction form
    190,299/392,118 = 392,118/x
  3. Step 3: Cross multiply
    190,299x = 392,118 × 392,118
  4. Step 4: Simplify right side
    190,299x = 153,756,525,924
  5. Step 5: Solve for x
    x = 153,756,525,924/190,299
  6. Step 6: Final answer
    x = 807,973.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.