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Finding the Third Proportional to 133,643.67 and 290,814.05

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Solution

The third proportional to 133,643.67 and 290,814.05 is: 632,823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,643.67 : 290,814.05 = 290,814.05 : x
  2. Step 2: Convert to fraction form
    133,643.67/290,814.05 = 290,814.05/x
  3. Step 3: Cross multiply
    133,643.67x = 290,814.05 × 290,814.05
  4. Step 4: Simplify right side
    133,643.67x = 84,572,809,859.81
  5. Step 5: Solve for x
    x = 84,572,809,859.81/133,643.67
  6. Step 6: Final answer
    x = 632,823.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.