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Finding the Third Proportional to 153,196 and 220,650

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Solution

The third proportional to 153,196 and 220,650 is: 317,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,196 : 220,650 = 220,650 : x
  2. Step 2: Convert to fraction form
    153,196/220,650 = 220,650/x
  3. Step 3: Cross multiply
    153,196x = 220,650 × 220,650
  4. Step 4: Simplify right side
    153,196x = 48,686,422,500
  5. Step 5: Solve for x
    x = 48,686,422,500/153,196
  6. Step 6: Final answer
    x = 317,804.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.