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Finding the Third Proportional to 145,433 and 213,361

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Solution

The third proportional to 145,433 and 213,361 is: 313,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,433 : 213,361 = 213,361 : x
  2. Step 2: Convert to fraction form
    145,433/213,361 = 213,361/x
  3. Step 3: Cross multiply
    145,433x = 213,361 × 213,361
  4. Step 4: Simplify right side
    145,433x = 45,522,916,321
  5. Step 5: Solve for x
    x = 45,522,916,321/145,433
  6. Step 6: Final answer
    x = 313,016.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.