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Finding the Third Proportional to 70,172 and 145,336

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Solution

The third proportional to 70,172 and 145,336 is: 301,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,172 : 145,336 = 145,336 : x
  2. Step 2: Convert to fraction form
    70,172/145,336 = 145,336/x
  3. Step 3: Cross multiply
    70,172x = 145,336 × 145,336
  4. Step 4: Simplify right side
    70,172x = 21,122,552,896
  5. Step 5: Solve for x
    x = 21,122,552,896/70,172
  6. Step 6: Final answer
    x = 301,011.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.