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Finding the Third Proportional to 19,930 and 29,030

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Solution

The third proportional to 19,930 and 29,030 is: 42,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,930 : 29,030 = 29,030 : x
  2. Step 2: Convert to fraction form
    19,930/29,030 = 29,030/x
  3. Step 3: Cross multiply
    19,930x = 29,030 × 29,030
  4. Step 4: Simplify right side
    19,930x = 842,740,900
  5. Step 5: Solve for x
    x = 842,740,900/19,930
  6. Step 6: Final answer
    x = 42,285.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.