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Finding the Third Proportional to 153,119 and 217,768

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Solution

The third proportional to 153,119 and 217,768 is: 309,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,119 : 217,768 = 217,768 : x
  2. Step 2: Convert to fraction form
    153,119/217,768 = 217,768/x
  3. Step 3: Cross multiply
    153,119x = 217,768 × 217,768
  4. Step 4: Simplify right side
    153,119x = 47,422,901,824
  5. Step 5: Solve for x
    x = 47,422,901,824/153,119
  6. Step 6: Final answer
    x = 309,712.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.