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Finding the Third Proportional to 421,848 and 616,896

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Solution

The third proportional to 421,848 and 616,896 is: 902,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,848 : 616,896 = 616,896 : x
  2. Step 2: Convert to fraction form
    421,848/616,896 = 616,896/x
  3. Step 3: Cross multiply
    421,848x = 616,896 × 616,896
  4. Step 4: Simplify right side
    421,848x = 380,560,674,816
  5. Step 5: Solve for x
    x = 380,560,674,816/421,848
  6. Step 6: Final answer
    x = 902,127.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.