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Finding the Third Proportional to 419,603 and 632,888

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Solution

The third proportional to 419,603 and 632,888 is: 954,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,603 : 632,888 = 632,888 : x
  2. Step 2: Convert to fraction form
    419,603/632,888 = 632,888/x
  3. Step 3: Cross multiply
    419,603x = 632,888 × 632,888
  4. Step 4: Simplify right side
    419,603x = 400,547,220,544
  5. Step 5: Solve for x
    x = 400,547,220,544/419,603
  6. Step 6: Final answer
    x = 954,586.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.