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Finding the Third Proportional to 298,776 and 457,251

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Solution

The third proportional to 298,776 and 457,251 is: 699,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,776 : 457,251 = 457,251 : x
  2. Step 2: Convert to fraction form
    298,776/457,251 = 457,251/x
  3. Step 3: Cross multiply
    298,776x = 457,251 × 457,251
  4. Step 4: Simplify right side
    298,776x = 209,078,477,001
  5. Step 5: Solve for x
    x = 209,078,477,001/298,776
  6. Step 6: Final answer
    x = 699,783.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.