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Finding the Third Proportional to 70,582 and 146,972

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Solution

The third proportional to 70,582 and 146,972 is: 306,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,582 : 146,972 = 146,972 : x
  2. Step 2: Convert to fraction form
    70,582/146,972 = 146,972/x
  3. Step 3: Cross multiply
    70,582x = 146,972 × 146,972
  4. Step 4: Simplify right side
    70,582x = 21,600,768,784
  5. Step 5: Solve for x
    x = 21,600,768,784/70,582
  6. Step 6: Final answer
    x = 306,037.92

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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.