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Finding the Third Proportional to 243,768 and 389,265

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Solution

The third proportional to 243,768 and 389,265 is: 621,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,768 : 389,265 = 389,265 : x
  2. Step 2: Convert to fraction form
    243,768/389,265 = 389,265/x
  3. Step 3: Cross multiply
    243,768x = 389,265 × 389,265
  4. Step 4: Simplify right side
    243,768x = 151,527,240,225
  5. Step 5: Solve for x
    x = 151,527,240,225/243,768
  6. Step 6: Final answer
    x = 621,604.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.