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Finding the Third Proportional to 153,322 and 211,128

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Solution

The third proportional to 153,322 and 211,128 is: 290,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,322 : 211,128 = 211,128 : x
  2. Step 2: Convert to fraction form
    153,322/211,128 = 211,128/x
  3. Step 3: Cross multiply
    153,322x = 211,128 × 211,128
  4. Step 4: Simplify right side
    153,322x = 44,575,032,384
  5. Step 5: Solve for x
    x = 44,575,032,384/153,322
  6. Step 6: Final answer
    x = 290,728.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.