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Finding the Third Proportional to 421,076 and 609,501

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Solution

The third proportional to 421,076 and 609,501 is: 882,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,076 : 609,501 = 609,501 : x
  2. Step 2: Convert to fraction form
    421,076/609,501 = 609,501/x
  3. Step 3: Cross multiply
    421,076x = 609,501 × 609,501
  4. Step 4: Simplify right side
    421,076x = 371,491,469,001
  5. Step 5: Solve for x
    x = 371,491,469,001/421,076
  6. Step 6: Final answer
    x = 882,243.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.