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Finding the Third Proportional to 279,642 and 436,027.50

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Solution

The third proportional to 279,642 and 436,027.50 is: 679,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,642 : 436,027.50 = 436,027.50 : x
  2. Step 2: Convert to fraction form
    279,642/436,027.50 = 436,027.50/x
  3. Step 3: Cross multiply
    279,642x = 436,027.50 × 436,027.50
  4. Step 4: Simplify right side
    279,642x = 190,119,980,756.25
  5. Step 5: Solve for x
    x = 190,119,980,756.25/279,642
  6. Step 6: Final answer
    x = 679,869.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.