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Finding the Third Proportional to 153,326 and 329,958

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Solution

The third proportional to 153,326 and 329,958 is: 710,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,326 : 329,958 = 329,958 : x
  2. Step 2: Convert to fraction form
    153,326/329,958 = 329,958/x
  3. Step 3: Cross multiply
    153,326x = 329,958 × 329,958
  4. Step 4: Simplify right side
    153,326x = 108,872,281,764
  5. Step 5: Solve for x
    x = 108,872,281,764/153,326
  6. Step 6: Final answer
    x = 710,070.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.