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Finding the Third Proportional to 624,078 and 913,899

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Solution

The third proportional to 624,078 and 913,899 is: 1,338,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,078 : 913,899 = 913,899 : x
  2. Step 2: Convert to fraction form
    624,078/913,899 = 913,899/x
  3. Step 3: Cross multiply
    624,078x = 913,899 × 913,899
  4. Step 4: Simplify right side
    624,078x = 835,211,382,201
  5. Step 5: Solve for x
    x = 835,211,382,201/624,078
  6. Step 6: Final answer
    x = 1,338,312.49

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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.