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Finding the Third Proportional to 96,946,272 and 212,135,040

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Solution

The third proportional to 96,946,272 and 212,135,040 is: 464,187,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946,272 : 212,135,040 = 212,135,040 : x
  2. Step 2: Convert to fraction form
    96,946,272/212,135,040 = 212,135,040/x
  3. Step 3: Cross multiply
    96,946,272x = 212,135,040 × 212,135,040
  4. Step 4: Simplify right side
    96,946,272x = 45,001,275,195,801,600
  5. Step 5: Solve for x
    x = 45,001,275,195,801,600/96,946,272
  6. Step 6: Final answer
    x = 464,187,784.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.