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Finding the Third Proportional to 352,119 and 760,369.50

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Solution

The third proportional to 352,119 and 760,369.50 is: 1,641,949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,119 : 760,369.50 = 760,369.50 : x
  2. Step 2: Convert to fraction form
    352,119/760,369.50 = 760,369.50/x
  3. Step 3: Cross multiply
    352,119x = 760,369.50 × 760,369.50
  4. Step 4: Simplify right side
    352,119x = 578,161,776,530.25
  5. Step 5: Solve for x
    x = 578,161,776,530.25/352,119
  6. Step 6: Final answer
    x = 1,641,949.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.