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Finding the Third Proportional to 458,543 and 673,720

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Solution

The third proportional to 458,543 and 673,720 is: 989,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,543 : 673,720 = 673,720 : x
  2. Step 2: Convert to fraction form
    458,543/673,720 = 673,720/x
  3. Step 3: Cross multiply
    458,543x = 673,720 × 673,720
  4. Step 4: Simplify right side
    458,543x = 453,898,638,400
  5. Step 5: Solve for x
    x = 453,898,638,400/458,543
  6. Step 6: Final answer
    x = 989,871.48

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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.