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Finding the Third Proportional to 133,740 and 293,724

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Solution

The third proportional to 133,740 and 293,724 is: 645,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,740 : 293,724 = 293,724 : x
  2. Step 2: Convert to fraction form
    133,740/293,724 = 293,724/x
  3. Step 3: Cross multiply
    133,740x = 293,724 × 293,724
  4. Step 4: Simplify right side
    133,740x = 86,273,788,176
  5. Step 5: Solve for x
    x = 86,273,788,176/133,740
  6. Step 6: Final answer
    x = 645,085.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.