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Finding the Third Proportional to 221,239,176 and 318,703,692

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Solution

The third proportional to 221,239,176 and 318,703,692 is: 459,105,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,239,176 : 318,703,692 = 318,703,692 : x
  2. Step 2: Convert to fraction form
    221,239,176/318,703,692 = 318,703,692/x
  3. Step 3: Cross multiply
    221,239,176x = 318,703,692 × 318,703,692
  4. Step 4: Simplify right side
    221,239,176x = 101,572,043,294,430,864
  5. Step 5: Solve for x
    x = 101,572,043,294,430,864/221,239,176
  6. Step 6: Final answer
    x = 459,105,141.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.