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Finding the Third Proportional to 347,453.50 and 518,143.50

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Solution

The third proportional to 347,453.50 and 518,143.50 is: 772,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,453.50 : 518,143.50 = 518,143.50 : x
  2. Step 2: Convert to fraction form
    347,453.50/518,143.50 = 518,143.50/x
  3. Step 3: Cross multiply
    347,453.50x = 518,143.50 × 518,143.50
  4. Step 4: Simplify right side
    347,453.50x = 268,472,686,592.25
  5. Step 5: Solve for x
    x = 268,472,686,592.25/347,453.50
  6. Step 6: Final answer
    x = 772,686.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.