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Finding the Third Proportional to 301,376 and 455,121

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Solution

The third proportional to 301,376 and 455,121 is: 687,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,376 : 455,121 = 455,121 : x
  2. Step 2: Convert to fraction form
    301,376/455,121 = 455,121/x
  3. Step 3: Cross multiply
    301,376x = 455,121 × 455,121
  4. Step 4: Simplify right side
    301,376x = 207,135,124,641
  5. Step 5: Solve for x
    x = 207,135,124,641/301,376
  6. Step 6: Final answer
    x = 687,298.01

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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.