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Finding the Third Proportional to 153,708 and 325,656

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Solution

The third proportional to 153,708 and 325,656 is: 689,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,708 : 325,656 = 325,656 : x
  2. Step 2: Convert to fraction form
    153,708/325,656 = 325,656/x
  3. Step 3: Cross multiply
    153,708x = 325,656 × 325,656
  4. Step 4: Simplify right side
    153,708x = 106,051,830,336
  5. Step 5: Solve for x
    x = 106,051,830,336/153,708
  6. Step 6: Final answer
    x = 689,956.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.