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Finding the Third Proportional to 366,988 and 543,678

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Solution

The third proportional to 366,988 and 543,678 is: 805,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988 : 543,678 = 543,678 : x
  2. Step 2: Convert to fraction form
    366,988/543,678 = 543,678/x
  3. Step 3: Cross multiply
    366,988x = 543,678 × 543,678
  4. Step 4: Simplify right side
    366,988x = 295,585,767,684
  5. Step 5: Solve for x
    x = 295,585,767,684/366,988
  6. Step 6: Final answer
    x = 805,437.15

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.