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Finding the Third Proportional to 301,377 and 455,967

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Solution

The third proportional to 301,377 and 455,967 is: 689,853.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,377 : 455,967 = 455,967 : x
  2. Step 2: Convert to fraction form
    301,377/455,967 = 455,967/x
  3. Step 3: Cross multiply
    301,377x = 455,967 × 455,967
  4. Step 4: Simplify right side
    301,377x = 207,905,905,089
  5. Step 5: Solve for x
    x = 207,905,905,089/301,377
  6. Step 6: Final answer
    x = 689,853.26

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