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Finding the Third Proportional to 154,044 and 331,056

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Solution

The third proportional to 154,044 and 331,056 is: 711,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,044 : 331,056 = 331,056 : x
  2. Step 2: Convert to fraction form
    154,044/331,056 = 331,056/x
  3. Step 3: Cross multiply
    154,044x = 331,056 × 331,056
  4. Step 4: Simplify right side
    154,044x = 109,598,075,136
  5. Step 5: Solve for x
    x = 109,598,075,136/154,044
  6. Step 6: Final answer
    x = 711,472.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.