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Finding the Third Proportional to 342,516 and 454,478

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Solution

The third proportional to 342,516 and 454,478 is: 603,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,516 : 454,478 = 454,478 : x
  2. Step 2: Convert to fraction form
    342,516/454,478 = 454,478/x
  3. Step 3: Cross multiply
    342,516x = 454,478 × 454,478
  4. Step 4: Simplify right side
    342,516x = 206,550,252,484
  5. Step 5: Solve for x
    x = 206,550,252,484/342,516
  6. Step 6: Final answer
    x = 603,038.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.