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Finding the Third Proportional to 133,358.63 and 290,683.13

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Solution

The third proportional to 133,358.63 and 290,683.13 is: 633,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,358.63 : 290,683.13 = 290,683.13 : x
  2. Step 2: Convert to fraction form
    133,358.63/290,683.13 = 290,683.13/x
  3. Step 3: Cross multiply
    133,358.63x = 290,683.13 × 290,683.13
  4. Step 4: Simplify right side
    133,358.63x = 84,496,679,159.77
  5. Step 5: Solve for x
    x = 84,496,679,159.77/133,358.63
  6. Step 6: Final answer
    x = 633,604.91

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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.