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Finding the Third Proportional to 14,020 and 21,030

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Solution

The third proportional to 14,020 and 21,030 is: 31,545

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020 : 21,030 = 21,030 : x
  2. Step 2: Convert to fraction form
    14,020/21,030 = 21,030/x
  3. Step 3: Cross multiply
    14,020x = 21,030 × 21,030
  4. Step 4: Simplify right side
    14,020x = 442,260,900
  5. Step 5: Solve for x
    x = 442,260,900/14,020
  6. Step 6: Final answer
    x = 31,545

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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.