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Finding the Third Proportional to 143,076 and 212,922

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Solution

The third proportional to 143,076 and 212,922 is: 316,865.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,076 : 212,922 = 212,922 : x
  2. Step 2: Convert to fraction form
    143,076/212,922 = 212,922/x
  3. Step 3: Cross multiply
    143,076x = 212,922 × 212,922
  4. Step 4: Simplify right side
    143,076x = 45,335,778,084
  5. Step 5: Solve for x
    x = 45,335,778,084/143,076
  6. Step 6: Final answer
    x = 316,865.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.