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Finding the Third Proportional to 458,328 and 673,440

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Solution

The third proportional to 458,328 and 673,440 is: 989,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,328 : 673,440 = 673,440 : x
  2. Step 2: Convert to fraction form
    458,328/673,440 = 673,440/x
  3. Step 3: Cross multiply
    458,328x = 673,440 × 673,440
  4. Step 4: Simplify right side
    458,328x = 453,521,433,600
  5. Step 5: Solve for x
    x = 453,521,433,600/458,328
  6. Step 6: Final answer
    x = 989,512.82

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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.