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Finding the Third Proportional to 298,551 and 630,798

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Solution

The third proportional to 298,551 and 630,798 is: 1,332,791.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,551 : 630,798 = 630,798 : x
  2. Step 2: Convert to fraction form
    298,551/630,798 = 630,798/x
  3. Step 3: Cross multiply
    298,551x = 630,798 × 630,798
  4. Step 4: Simplify right side
    298,551x = 397,906,116,804
  5. Step 5: Solve for x
    x = 397,906,116,804/298,551
  6. Step 6: Final answer
    x = 1,332,791.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.