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Finding the Third Proportional to 243,228.50 and 522,421

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Solution

The third proportional to 243,228.50 and 522,421 is: 1,122,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,228.50 : 522,421 = 522,421 : x
  2. Step 2: Convert to fraction form
    243,228.50/522,421 = 522,421/x
  3. Step 3: Cross multiply
    243,228.50x = 522,421 × 522,421
  4. Step 4: Simplify right side
    243,228.50x = 272,923,701,241
  5. Step 5: Solve for x
    x = 272,923,701,241/243,228.50
  6. Step 6: Final answer
    x = 1,122,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.