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Finding the Third Proportional to 300,715.50 and 401,319

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Solution

The third proportional to 300,715.50 and 401,319 is: 535,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,715.50 : 401,319 = 401,319 : x
  2. Step 2: Convert to fraction form
    300,715.50/401,319 = 401,319/x
  3. Step 3: Cross multiply
    300,715.50x = 401,319 × 401,319
  4. Step 4: Simplify right side
    300,715.50x = 161,056,939,761
  5. Step 5: Solve for x
    x = 161,056,939,761/300,715.50
  6. Step 6: Final answer
    x = 535,579.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.