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Finding the Third Proportional to 262,516 and 388,239

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Solution

The third proportional to 262,516 and 388,239 is: 574,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,516 : 388,239 = 388,239 : x
  2. Step 2: Convert to fraction form
    262,516/388,239 = 388,239/x
  3. Step 3: Cross multiply
    262,516x = 388,239 × 388,239
  4. Step 4: Simplify right side
    262,516x = 150,729,521,121
  5. Step 5: Solve for x
    x = 150,729,521,121/262,516
  6. Step 6: Final answer
    x = 574,172.70

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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.