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Finding the Third Proportional to 457,910 and 673,148

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Solution

The third proportional to 457,910 and 673,148 is: 989,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,910 : 673,148 = 673,148 : x
  2. Step 2: Convert to fraction form
    457,910/673,148 = 673,148/x
  3. Step 3: Cross multiply
    457,910x = 673,148 × 673,148
  4. Step 4: Simplify right side
    457,910x = 453,128,229,904
  5. Step 5: Solve for x
    x = 453,128,229,904/457,910
  6. Step 6: Final answer
    x = 989,557.40

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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.