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Finding the Third Proportional to 298,578 and 624,810

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Solution

The third proportional to 298,578 and 624,810 is: 1,307,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,578 : 624,810 = 624,810 : x
  2. Step 2: Convert to fraction form
    298,578/624,810 = 624,810/x
  3. Step 3: Cross multiply
    298,578x = 624,810 × 624,810
  4. Step 4: Simplify right side
    298,578x = 390,387,536,100
  5. Step 5: Solve for x
    x = 390,387,536,100/298,578
  6. Step 6: Final answer
    x = 1,307,489.29

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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.