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Finding the Third Proportional to 244,488 and 389,030

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Solution

The third proportional to 244,488 and 389,030 is: 619,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,488 : 389,030 = 389,030 : x
  2. Step 2: Convert to fraction form
    244,488/389,030 = 389,030/x
  3. Step 3: Cross multiply
    244,488x = 389,030 × 389,030
  4. Step 4: Simplify right side
    244,488x = 151,344,340,900
  5. Step 5: Solve for x
    x = 151,344,340,900/244,488
  6. Step 6: Final answer
    x = 619,025.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.