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Finding the Third Proportional to 70,154 and 145,297

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Solution

The third proportional to 70,154 and 145,297 is: 300,926.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154 : 145,297 = 145,297 : x
  2. Step 2: Convert to fraction form
    70,154/145,297 = 145,297/x
  3. Step 3: Cross multiply
    70,154x = 145,297 × 145,297
  4. Step 4: Simplify right side
    70,154x = 21,111,218,209
  5. Step 5: Solve for x
    x = 21,111,218,209/70,154
  6. Step 6: Final answer
    x = 300,926.79

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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.