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Finding the Third Proportional to 108,911,072 and 232,238,848

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Solution

The third proportional to 108,911,072 and 232,238,848 is: 495,219,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,911,072 : 232,238,848 = 232,238,848 : x
  2. Step 2: Convert to fraction form
    108,911,072/232,238,848 = 232,238,848/x
  3. Step 3: Cross multiply
    108,911,072x = 232,238,848 × 232,238,848
  4. Step 4: Simplify right side
    108,911,072x = 53,934,882,520,367,104
  5. Step 5: Solve for x
    x = 53,934,882,520,367,104/108,911,072
  6. Step 6: Final answer
    x = 495,219,462.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.