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Finding the Third Proportional to 143,669 and 304,851

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Solution

The third proportional to 143,669 and 304,851 is: 646,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,669 : 304,851 = 304,851 : x
  2. Step 2: Convert to fraction form
    143,669/304,851 = 304,851/x
  3. Step 3: Cross multiply
    143,669x = 304,851 × 304,851
  4. Step 4: Simplify right side
    143,669x = 92,934,132,201
  5. Step 5: Solve for x
    x = 92,934,132,201/143,669
  6. Step 6: Final answer
    x = 646,862.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.