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Finding the Third Proportional to 262,410 and 543,490

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Solution

The third proportional to 262,410 and 543,490 is: 1,125,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,410 : 543,490 = 543,490 : x
  2. Step 2: Convert to fraction form
    262,410/543,490 = 543,490/x
  3. Step 3: Cross multiply
    262,410x = 543,490 × 543,490
  4. Step 4: Simplify right side
    262,410x = 295,381,380,100
  5. Step 5: Solve for x
    x = 295,381,380,100/262,410
  6. Step 6: Final answer
    x = 1,125,648.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.