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Finding the Third Proportional to 550,915.50 and 842,203

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Solution

The third proportional to 550,915.50 and 842,203 is: 1,287,503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,915.50 : 842,203 = 842,203 : x
  2. Step 2: Convert to fraction form
    550,915.50/842,203 = 842,203/x
  3. Step 3: Cross multiply
    550,915.50x = 842,203 × 842,203
  4. Step 4: Simplify right side
    550,915.50x = 709,305,893,209
  5. Step 5: Solve for x
    x = 709,305,893,209/550,915.50
  6. Step 6: Final answer
    x = 1,287,503.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.