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Finding the Third Proportional to 298,641.73 and 644,827.92

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Solution

The third proportional to 298,641.73 and 644,827.92 is: 1,392,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,641.73 : 644,827.92 = 644,827.92 : x
  2. Step 2: Convert to fraction form
    298,641.73/644,827.92 = 644,827.92/x
  3. Step 3: Cross multiply
    298,641.73x = 644,827.92 × 644,827.92
  4. Step 4: Simplify right side
    298,641.73x = 415,803,048,829.63
  5. Step 5: Solve for x
    x = 415,803,048,829.63/298,641.73
  6. Step 6: Final answer
    x = 1,392,313.97

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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.