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Finding the Third Proportional to 311,490 and 409,006

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Solution

The third proportional to 311,490 and 409,006 is: 537,050.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,490 : 409,006 = 409,006 : x
  2. Step 2: Convert to fraction form
    311,490/409,006 = 409,006/x
  3. Step 3: Cross multiply
    311,490x = 409,006 × 409,006
  4. Step 4: Simplify right side
    311,490x = 167,285,908,036
  5. Step 5: Solve for x
    x = 167,285,908,036/311,490
  6. Step 6: Final answer
    x = 537,050.65

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.