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Finding the Third Proportional to 291,741.75 and 430,895.25

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Solution

The third proportional to 291,741.75 and 430,895.25 is: 636,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,741.75 : 430,895.25 = 430,895.25 : x
  2. Step 2: Convert to fraction form
    291,741.75/430,895.25 = 430,895.25/x
  3. Step 3: Cross multiply
    291,741.75x = 430,895.25 × 430,895.25
  4. Step 4: Simplify right side
    291,741.75x = 185,670,716,472.56
  5. Step 5: Solve for x
    x = 185,670,716,472.56/291,741.75
  6. Step 6: Final answer
    x = 636,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.