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Finding the Third Proportional to 434,333,770 and 946,702,196

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Solution

The third proportional to 434,333,770 and 946,702,196 is: 2,063,493,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,333,770 : 946,702,196 = 946,702,196 : x
  2. Step 2: Convert to fraction form
    434,333,770/946,702,196 = 946,702,196/x
  3. Step 3: Cross multiply
    434,333,770x = 946,702,196 × 946,702,196
  4. Step 4: Simplify right side
    434,333,770x = 896,245,047,911,222,400
  5. Step 5: Solve for x
    x = 896,245,047,911,222,400/434,333,770
  6. Step 6: Final answer
    x = 2,063,493,814.70

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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.