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Finding the Third Proportional to 331,352.50 and 721,361

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Solution

The third proportional to 331,352.50 and 721,361 is: 1,570,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,352.50 : 721,361 = 721,361 : x
  2. Step 2: Convert to fraction form
    331,352.50/721,361 = 721,361/x
  3. Step 3: Cross multiply
    331,352.50x = 721,361 × 721,361
  4. Step 4: Simplify right side
    331,352.50x = 520,361,692,321
  5. Step 5: Solve for x
    x = 520,361,692,321/331,352.50
  6. Step 6: Final answer
    x = 1,570,417.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.