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Finding the Third Proportional to 285,345 and 310,252

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Solution

The third proportional to 285,345 and 310,252 is: 337,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,345 : 310,252 = 310,252 : x
  2. Step 2: Convert to fraction form
    285,345/310,252 = 310,252/x
  3. Step 3: Cross multiply
    285,345x = 310,252 × 310,252
  4. Step 4: Simplify right side
    285,345x = 96,256,303,504
  5. Step 5: Solve for x
    x = 96,256,303,504/285,345
  6. Step 6: Final answer
    x = 337,333.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.