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Finding the Third Proportional to 386,488 and 577,956

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Solution

The third proportional to 386,488 and 577,956 is: 864,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,488 : 577,956 = 577,956 : x
  2. Step 2: Convert to fraction form
    386,488/577,956 = 577,956/x
  3. Step 3: Cross multiply
    386,488x = 577,956 × 577,956
  4. Step 4: Simplify right side
    386,488x = 334,033,137,936
  5. Step 5: Solve for x
    x = 334,033,137,936/386,488
  6. Step 6: Final answer
    x = 864,278.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.