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Finding the Third Proportional to 434,333,768 and 946,702,192

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Solution

The third proportional to 434,333,768 and 946,702,192 is: 2,063,493,806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,333,768 : 946,702,192 = 946,702,192 : x
  2. Step 2: Convert to fraction form
    434,333,768/946,702,192 = 946,702,192/x
  3. Step 3: Cross multiply
    434,333,768x = 946,702,192 × 946,702,192
  4. Step 4: Simplify right side
    434,333,768x = 896,245,040,337,604,864
  5. Step 5: Solve for x
    x = 896,245,040,337,604,864/434,333,768
  6. Step 6: Final answer
    x = 2,063,493,806.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.