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Finding the Third Proportional to 4,546,684.50 and 9,850,140

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Solution

The third proportional to 4,546,684.50 and 9,850,140 is: 21,339,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546,684.50 : 9,850,140 = 9,850,140 : x
  2. Step 2: Convert to fraction form
    4,546,684.50/9,850,140 = 9,850,140/x
  3. Step 3: Cross multiply
    4,546,684.50x = 9,850,140 × 9,850,140
  4. Step 4: Simplify right side
    4,546,684.50x = 97,025,258,019,600
  5. Step 5: Solve for x
    x = 97,025,258,019,600/4,546,684.50
  6. Step 6: Final answer
    x = 21,339,782.43

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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.