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Finding the Third Proportional to 141,388 and 303,246.50

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Solution

The third proportional to 141,388 and 303,246.50 is: 650,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,388 : 303,246.50 = 303,246.50 : x
  2. Step 2: Convert to fraction form
    141,388/303,246.50 = 303,246.50/x
  3. Step 3: Cross multiply
    141,388x = 303,246.50 × 303,246.50
  4. Step 4: Simplify right side
    141,388x = 91,958,439,762.25
  5. Step 5: Solve for x
    x = 91,958,439,762.25/141,388
  6. Step 6: Final answer
    x = 650,397.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.