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Finding the Third Proportional to 401,774.63 and 545,657.63

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Solution

The third proportional to 401,774.63 and 545,657.63 is: 741,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,774.63 : 545,657.63 = 545,657.63 : x
  2. Step 2: Convert to fraction form
    401,774.63/545,657.63 = 545,657.63/x
  3. Step 3: Cross multiply
    401,774.63x = 545,657.63 × 545,657.63
  4. Step 4: Simplify right side
    401,774.63x = 297,742,243,720.64
  5. Step 5: Solve for x
    x = 297,742,243,720.64/401,774.63
  6. Step 6: Final answer
    x = 741,067.82

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.