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Finding the Third Proportional to 143,050 and 216,417

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Solution

The third proportional to 143,050 and 216,417 is: 327,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,050 : 216,417 = 216,417 : x
  2. Step 2: Convert to fraction form
    143,050/216,417 = 216,417/x
  3. Step 3: Cross multiply
    143,050x = 216,417 × 216,417
  4. Step 4: Simplify right side
    143,050x = 46,836,317,889
  5. Step 5: Solve for x
    x = 46,836,317,889/143,050
  6. Step 6: Final answer
    x = 327,412.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.