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Finding the Third Proportional to 70,723 and 148,717

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Solution

The third proportional to 70,723 and 148,717 is: 312,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,723 : 148,717 = 148,717 : x
  2. Step 2: Convert to fraction form
    70,723/148,717 = 148,717/x
  3. Step 3: Cross multiply
    70,723x = 148,717 × 148,717
  4. Step 4: Simplify right side
    70,723x = 22,116,746,089
  5. Step 5: Solve for x
    x = 22,116,746,089/70,723
  6. Step 6: Final answer
    x = 312,723.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.