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Finding the Third Proportional to 301,378 and 455,124

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Solution

The third proportional to 301,378 and 455,124 is: 687,302.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,378 : 455,124 = 455,124 : x
  2. Step 2: Convert to fraction form
    301,378/455,124 = 455,124/x
  3. Step 3: Cross multiply
    301,378x = 455,124 × 455,124
  4. Step 4: Simplify right side
    301,378x = 207,137,855,376
  5. Step 5: Solve for x
    x = 207,137,855,376/301,378
  6. Step 6: Final answer
    x = 687,302.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.