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Finding the Third Proportional to 146,428 and 321,368

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Solution

The third proportional to 146,428 and 321,368 is: 705,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,428 : 321,368 = 321,368 : x
  2. Step 2: Convert to fraction form
    146,428/321,368 = 321,368/x
  3. Step 3: Cross multiply
    146,428x = 321,368 × 321,368
  4. Step 4: Simplify right side
    146,428x = 103,277,391,424
  5. Step 5: Solve for x
    x = 103,277,391,424/146,428
  6. Step 6: Final answer
    x = 705,311.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.