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Finding the Third Proportional to 489,000.38 and 748,029.94

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Solution

The third proportional to 489,000.38 and 748,029.94 is: 1,144,270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,000.38 : 748,029.94 = 748,029.94 : x
  2. Step 2: Convert to fraction form
    489,000.38/748,029.94 = 748,029.94/x
  3. Step 3: Cross multiply
    489,000.38x = 748,029.94 × 748,029.94
  4. Step 4: Simplify right side
    489,000.38x = 559,548,787,396.25
  5. Step 5: Solve for x
    x = 559,548,787,396.25/489,000.38
  6. Step 6: Final answer
    x = 1,144,270.67

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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.