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Finding the Third Proportional to 238,972.50 and 521,421.75

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Solution

The third proportional to 238,972.50 and 521,421.75 is: 1,137,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,972.50 : 521,421.75 = 521,421.75 : x
  2. Step 2: Convert to fraction form
    238,972.50/521,421.75 = 521,421.75/x
  3. Step 3: Cross multiply
    238,972.50x = 521,421.75 × 521,421.75
  4. Step 4: Simplify right side
    238,972.50x = 271,880,641,373.06
  5. Step 5: Solve for x
    x = 271,880,641,373.06/238,972.50
  6. Step 6: Final answer
    x = 1,137,706.81

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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.