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Finding the Third Proportional to 624,109 and 913,949

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Solution

The third proportional to 624,109 and 913,949 is: 1,338,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,109 : 913,949 = 913,949 : x
  2. Step 2: Convert to fraction form
    624,109/913,949 = 913,949/x
  3. Step 3: Cross multiply
    624,109x = 913,949 × 913,949
  4. Step 4: Simplify right side
    624,109x = 835,302,774,601
  5. Step 5: Solve for x
    x = 835,302,774,601/624,109
  6. Step 6: Final answer
    x = 1,338,392.45

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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.