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Finding the Third Proportional to 437,340 and 947,220

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Solution

The third proportional to 437,340 and 947,220 is: 2,051,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,340 : 947,220 = 947,220 : x
  2. Step 2: Convert to fraction form
    437,340/947,220 = 947,220/x
  3. Step 3: Cross multiply
    437,340x = 947,220 × 947,220
  4. Step 4: Simplify right side
    437,340x = 897,225,728,400
  5. Step 5: Solve for x
    x = 897,225,728,400/437,340
  6. Step 6: Final answer
    x = 2,051,551.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.