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Finding the Third Proportional to 30,418,600 and 67,638,212

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Solution

The third proportional to 30,418,600 and 67,638,212 is: 150,399,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418,600 : 67,638,212 = 67,638,212 : x
  2. Step 2: Convert to fraction form
    30,418,600/67,638,212 = 67,638,212/x
  3. Step 3: Cross multiply
    30,418,600x = 67,638,212 × 67,638,212
  4. Step 4: Simplify right side
    30,418,600x = 4,574,927,722,556,944
  5. Step 5: Solve for x
    x = 4,574,927,722,556,944/30,418,600
  6. Step 6: Final answer
    x = 150,399,023.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.