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Finding the Third Proportional to 269,812.69 and 389,802.38

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Solution

The third proportional to 269,812.69 and 389,802.38 is: 563,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,812.69 : 389,802.38 = 389,802.38 : x
  2. Step 2: Convert to fraction form
    269,812.69/389,802.38 = 389,802.38/x
  3. Step 3: Cross multiply
    269,812.69x = 389,802.38 × 389,802.38
  4. Step 4: Simplify right side
    269,812.69x = 151,945,891,555.64
  5. Step 5: Solve for x
    x = 151,945,891,555.64/269,812.69
  6. Step 6: Final answer
    x = 563,153.25

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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.