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Finding the Third Proportional to 289,674.56 and 443,129.06

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Solution

The third proportional to 289,674.56 and 443,129.06 is: 677,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,674.56 : 443,129.06 = 443,129.06 : x
  2. Step 2: Convert to fraction form
    289,674.56/443,129.06 = 443,129.06/x
  3. Step 3: Cross multiply
    289,674.56x = 443,129.06 × 443,129.06
  4. Step 4: Simplify right side
    289,674.56x = 196,363,366,032.13
  5. Step 5: Solve for x
    x = 196,363,366,032.13/289,674.56
  6. Step 6: Final answer
    x = 677,875.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.