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Finding the Third Proportional to 289,440 and 414,720

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Solution

The third proportional to 289,440 and 414,720 is: 594,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,440 : 414,720 = 414,720 : x
  2. Step 2: Convert to fraction form
    289,440/414,720 = 414,720/x
  3. Step 3: Cross multiply
    289,440x = 414,720 × 414,720
  4. Step 4: Simplify right side
    289,440x = 171,992,678,400
  5. Step 5: Solve for x
    x = 171,992,678,400/289,440
  6. Step 6: Final answer
    x = 594,225.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.