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Finding the Third Proportional to 422,955,905 and 646,590,568

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Solution

The third proportional to 422,955,905 and 646,590,568 is: 988,470,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,955,905 : 646,590,568 = 646,590,568 : x
  2. Step 2: Convert to fraction form
    422,955,905/646,590,568 = 646,590,568/x
  3. Step 3: Cross multiply
    422,955,905x = 646,590,568 × 646,590,568
  4. Step 4: Simplify right side
    422,955,905x = 418,079,362,626,562,624
  5. Step 5: Solve for x
    x = 418,079,362,626,562,624/422,955,905
  6. Step 6: Final answer
    x = 988,470,329.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.