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Finding the Third Proportional to 153,489 and 332,196

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Solution

The third proportional to 153,489 and 332,196 is: 718,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,489 : 332,196 = 332,196 : x
  2. Step 2: Convert to fraction form
    153,489/332,196 = 332,196/x
  3. Step 3: Cross multiply
    153,489x = 332,196 × 332,196
  4. Step 4: Simplify right side
    153,489x = 110,354,182,416
  5. Step 5: Solve for x
    x = 110,354,182,416/153,489
  6. Step 6: Final answer
    x = 718,971.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.