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Finding the Third Proportional to 257,243 and 366,948

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Solution

The third proportional to 257,243 and 366,948 is: 523,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,243 : 366,948 = 366,948 : x
  2. Step 2: Convert to fraction form
    257,243/366,948 = 366,948/x
  3. Step 3: Cross multiply
    257,243x = 366,948 × 366,948
  4. Step 4: Simplify right side
    257,243x = 134,650,834,704
  5. Step 5: Solve for x
    x = 134,650,834,704/257,243
  6. Step 6: Final answer
    x = 523,438.28

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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.