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Finding the Third Proportional to 190,964 and 418,216

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Solution

The third proportional to 190,964 and 418,216 is: 915,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,964 : 418,216 = 418,216 : x
  2. Step 2: Convert to fraction form
    190,964/418,216 = 418,216/x
  3. Step 3: Cross multiply
    190,964x = 418,216 × 418,216
  4. Step 4: Simplify right side
    190,964x = 174,904,622,656
  5. Step 5: Solve for x
    x = 174,904,622,656/190,964
  6. Step 6: Final answer
    x = 915,903.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.