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Finding the Third Proportional to 457,905 and 673,138

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Solution

The third proportional to 457,905 and 673,138 is: 989,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,905 : 673,138 = 673,138 : x
  2. Step 2: Convert to fraction form
    457,905/673,138 = 673,138/x
  3. Step 3: Cross multiply
    457,905x = 673,138 × 673,138
  4. Step 4: Simplify right side
    457,905x = 453,114,767,044
  5. Step 5: Solve for x
    x = 453,114,767,044/457,905
  6. Step 6: Final answer
    x = 989,538.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.