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Finding the Third Proportional to 223,043 and 317,955

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Solution

The third proportional to 223,043 and 317,955 is: 453,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,043 : 317,955 = 317,955 : x
  2. Step 2: Convert to fraction form
    223,043/317,955 = 317,955/x
  3. Step 3: Cross multiply
    223,043x = 317,955 × 317,955
  4. Step 4: Simplify right side
    223,043x = 101,095,382,025
  5. Step 5: Solve for x
    x = 101,095,382,025/223,043
  6. Step 6: Final answer
    x = 453,255.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.