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Finding the Third Proportional to 274,456.50 and 428,283

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Solution

The third proportional to 274,456.50 and 428,283 is: 668,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,456.50 : 428,283 = 428,283 : x
  2. Step 2: Convert to fraction form
    274,456.50/428,283 = 428,283/x
  3. Step 3: Cross multiply
    274,456.50x = 428,283 × 428,283
  4. Step 4: Simplify right side
    274,456.50x = 183,426,328,089
  5. Step 5: Solve for x
    x = 183,426,328,089/274,456.50
  6. Step 6: Final answer
    x = 668,325.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.