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Finding the Third Proportional to 320,603 and 705,196

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Solution

The third proportional to 320,603 and 705,196 is: 1,551,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,603 : 705,196 = 705,196 : x
  2. Step 2: Convert to fraction form
    320,603/705,196 = 705,196/x
  3. Step 3: Cross multiply
    320,603x = 705,196 × 705,196
  4. Step 4: Simplify right side
    320,603x = 497,301,398,416
  5. Step 5: Solve for x
    x = 497,301,398,416/320,603
  6. Step 6: Final answer
    x = 1,551,143.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.