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Finding the Third Proportional to 70,294 and 146,421

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Solution

The third proportional to 70,294 and 146,421 is: 304,992.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294 : 146,421 = 146,421 : x
  2. Step 2: Convert to fraction form
    70,294/146,421 = 146,421/x
  3. Step 3: Cross multiply
    70,294x = 146,421 × 146,421
  4. Step 4: Simplify right side
    70,294x = 21,439,109,241
  5. Step 5: Solve for x
    x = 21,439,109,241/70,294
  6. Step 6: Final answer
    x = 304,992.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.