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Finding the Third Proportional to 212,795,140.50 and 458,416,989

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Solution

The third proportional to 212,795,140.50 and 458,416,989 is: 987,551,385.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,795,140.50 : 458,416,989 = 458,416,989 : x
  2. Step 2: Convert to fraction form
    212,795,140.50/458,416,989 = 458,416,989/x
  3. Step 3: Cross multiply
    212,795,140.50x = 458,416,989 × 458,416,989
  4. Step 4: Simplify right side
    212,795,140.50x = 210,146,135,803,826,112
  5. Step 5: Solve for x
    x = 210,146,135,803,826,112/212,795,140.50
  6. Step 6: Final answer
    x = 987,551,385.38

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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.