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Finding the Third Proportional to 70,275 and 153,656

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Solution

The third proportional to 70,275 and 153,656 is: 335,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,275 : 153,656 = 153,656 : x
  2. Step 2: Convert to fraction form
    70,275/153,656 = 153,656/x
  3. Step 3: Cross multiply
    70,275x = 153,656 × 153,656
  4. Step 4: Simplify right side
    70,275x = 23,610,166,336
  5. Step 5: Solve for x
    x = 23,610,166,336/70,275
  6. Step 6: Final answer
    x = 335,968.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.