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Finding the Third Proportional to 269,816 and 389,807

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Solution

The third proportional to 269,816 and 389,807 is: 563,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,816 : 389,807 = 389,807 : x
  2. Step 2: Convert to fraction form
    269,816/389,807 = 389,807/x
  3. Step 3: Cross multiply
    269,816x = 389,807 × 389,807
  4. Step 4: Simplify right side
    269,816x = 151,949,497,249
  5. Step 5: Solve for x
    x = 151,949,497,249/269,816
  6. Step 6: Final answer
    x = 563,159.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.