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Finding the Third Proportional to 301,374 and 455,949

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Solution

The third proportional to 301,374 and 455,949 is: 689,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,374 : 455,949 = 455,949 : x
  2. Step 2: Convert to fraction form
    301,374/455,949 = 455,949/x
  3. Step 3: Cross multiply
    301,374x = 455,949 × 455,949
  4. Step 4: Simplify right side
    301,374x = 207,889,490,601
  5. Step 5: Solve for x
    x = 207,889,490,601/301,374
  6. Step 6: Final answer
    x = 689,805.66

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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.