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Finding the Third Proportional to 158,428 and 329,961

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Solution

The third proportional to 158,428 and 329,961 is: 687,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,428 : 329,961 = 329,961 : x
  2. Step 2: Convert to fraction form
    158,428/329,961 = 329,961/x
  3. Step 3: Cross multiply
    158,428x = 329,961 × 329,961
  4. Step 4: Simplify right side
    158,428x = 108,874,261,521
  5. Step 5: Solve for x
    x = 108,874,261,521/158,428
  6. Step 6: Final answer
    x = 687,216.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.