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Finding the Third Proportional to 273,429 and 409,027.50

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Solution

The third proportional to 273,429 and 409,027.50 is: 611,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,429 : 409,027.50 = 409,027.50 : x
  2. Step 2: Convert to fraction form
    273,429/409,027.50 = 409,027.50/x
  3. Step 3: Cross multiply
    273,429x = 409,027.50 × 409,027.50
  4. Step 4: Simplify right side
    273,429x = 167,303,495,756.25
  5. Step 5: Solve for x
    x = 167,303,495,756.25/273,429
  6. Step 6: Final answer
    x = 611,871.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.