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Finding the Third Proportional to 679,121 and 919,032

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Solution

The third proportional to 679,121 and 919,032 is: 1,243,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,121 : 919,032 = 919,032 : x
  2. Step 2: Convert to fraction form
    679,121/919,032 = 919,032/x
  3. Step 3: Cross multiply
    679,121x = 919,032 × 919,032
  4. Step 4: Simplify right side
    679,121x = 844,619,817,024
  5. Step 5: Solve for x
    x = 844,619,817,024/679,121
  6. Step 6: Final answer
    x = 1,243,695.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.