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Finding the Third Proportional to 158,428 and 329,964

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Solution

The third proportional to 158,428 and 329,964 is: 687,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,428 : 329,964 = 329,964 : x
  2. Step 2: Convert to fraction form
    158,428/329,964 = 329,964/x
  3. Step 3: Cross multiply
    158,428x = 329,964 × 329,964
  4. Step 4: Simplify right side
    158,428x = 108,876,241,296
  5. Step 5: Solve for x
    x = 108,876,241,296/158,428
  6. Step 6: Final answer
    x = 687,228.53

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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.