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Finding the Third Proportional to 21,030 and 31,545

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Solution

The third proportional to 21,030 and 31,545 is: 47,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030 : 31,545 = 31,545 : x
  2. Step 2: Convert to fraction form
    21,030/31,545 = 31,545/x
  3. Step 3: Cross multiply
    21,030x = 31,545 × 31,545
  4. Step 4: Simplify right side
    21,030x = 995,087,025
  5. Step 5: Solve for x
    x = 995,087,025/21,030
  6. Step 6: Final answer
    x = 47,317.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.