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Finding the Third Proportional to 143,534 and 213,660

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Solution

The third proportional to 143,534 and 213,660 is: 318,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,534 : 213,660 = 213,660 : x
  2. Step 2: Convert to fraction form
    143,534/213,660 = 213,660/x
  3. Step 3: Cross multiply
    143,534x = 213,660 × 213,660
  4. Step 4: Simplify right side
    143,534x = 45,650,595,600
  5. Step 5: Solve for x
    x = 45,650,595,600/143,534
  6. Step 6: Final answer
    x = 318,047.26

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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.