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Finding the Third Proportional to 9,121,688 and 19,831,094

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Solution

The third proportional to 9,121,688 and 19,831,094 is: 43,113,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121,688 : 19,831,094 = 19,831,094 : x
  2. Step 2: Convert to fraction form
    9,121,688/19,831,094 = 19,831,094/x
  3. Step 3: Cross multiply
    9,121,688x = 19,831,094 × 19,831,094
  4. Step 4: Simplify right side
    9,121,688x = 393,272,289,236,836
  5. Step 5: Solve for x
    x = 393,272,289,236,836/9,121,688
  6. Step 6: Final answer
    x = 43,113,981.67

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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.