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Finding the Third Proportional to 328,305 and 705,654

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Solution

The third proportional to 328,305 and 705,654 is: 1,516,722.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,305 : 705,654 = 705,654 : x
  2. Step 2: Convert to fraction form
    328,305/705,654 = 705,654/x
  3. Step 3: Cross multiply
    328,305x = 705,654 × 705,654
  4. Step 4: Simplify right side
    328,305x = 497,947,567,716
  5. Step 5: Solve for x
    x = 497,947,567,716/328,305
  6. Step 6: Final answer
    x = 1,516,722.46

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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.