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Finding the Third Proportional to 289,752.19 and 443,242.13

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Solution

The third proportional to 289,752.19 and 443,242.13 is: 678,040.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,752.19 : 443,242.13 = 443,242.13 : x
  2. Step 2: Convert to fraction form
    289,752.19/443,242.13 = 443,242.13/x
  3. Step 3: Cross multiply
    289,752.19x = 443,242.13 × 443,242.13
  4. Step 4: Simplify right side
    289,752.19x = 196,463,581,374.52
  5. Step 5: Solve for x
    x = 196,463,581,374.52/289,752.19
  6. Step 6: Final answer
    x = 678,040.03

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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.