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Finding the Third Proportional to 298,461 and 644,187

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Solution

The third proportional to 298,461 and 644,187 is: 1,390,389.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,461 : 644,187 = 644,187 : x
  2. Step 2: Convert to fraction form
    298,461/644,187 = 644,187/x
  3. Step 3: Cross multiply
    298,461x = 644,187 × 644,187
  4. Step 4: Simplify right side
    298,461x = 414,976,890,969
  5. Step 5: Solve for x
    x = 414,976,890,969/298,461
  6. Step 6: Final answer
    x = 1,390,389.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.