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Finding the Third Proportional to 262,288 and 393,688

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Solution

The third proportional to 262,288 and 393,688 is: 590,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,288 : 393,688 = 393,688 : x
  2. Step 2: Convert to fraction form
    262,288/393,688 = 393,688/x
  3. Step 3: Cross multiply
    262,288x = 393,688 × 393,688
  4. Step 4: Simplify right side
    262,288x = 154,990,241,344
  5. Step 5: Solve for x
    x = 154,990,241,344/262,288
  6. Step 6: Final answer
    x = 590,916.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.