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Finding the Third Proportional to 298,557 and 624,771

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Solution

The third proportional to 298,557 and 624,771 is: 1,307,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,557 : 624,771 = 624,771 : x
  2. Step 2: Convert to fraction form
    298,557/624,771 = 624,771/x
  3. Step 3: Cross multiply
    298,557x = 624,771 × 624,771
  4. Step 4: Simplify right side
    298,557x = 390,338,802,441
  5. Step 5: Solve for x
    x = 390,338,802,441/298,557
  6. Step 6: Final answer
    x = 1,307,418.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.