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Finding the Third Proportional to 79,020 and 190,431

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Solution

The third proportional to 79,020 and 190,431 is: 458,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,020 : 190,431 = 190,431 : x
  2. Step 2: Convert to fraction form
    79,020/190,431 = 190,431/x
  3. Step 3: Cross multiply
    79,020x = 190,431 × 190,431
  4. Step 4: Simplify right side
    79,020x = 36,263,965,761
  5. Step 5: Solve for x
    x = 36,263,965,761/79,020
  6. Step 6: Final answer
    x = 458,921.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.