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Finding the Third Proportional to 298,580 and 624,814

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Solution

The third proportional to 298,580 and 624,814 is: 1,307,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,580 : 624,814 = 624,814 : x
  2. Step 2: Convert to fraction form
    298,580/624,814 = 624,814/x
  3. Step 3: Cross multiply
    298,580x = 624,814 × 624,814
  4. Step 4: Simplify right side
    298,580x = 390,392,534,596
  5. Step 5: Solve for x
    x = 390,392,534,596/298,580
  6. Step 6: Final answer
    x = 1,307,497.27

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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.