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Finding the Third Proportional to 70,823 and 152,575

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Solution

The third proportional to 70,823 and 152,575 is: 328,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823 : 152,575 = 152,575 : x
  2. Step 2: Convert to fraction form
    70,823/152,575 = 152,575/x
  3. Step 3: Cross multiply
    70,823x = 152,575 × 152,575
  4. Step 4: Simplify right side
    70,823x = 23,279,130,625
  5. Step 5: Solve for x
    x = 23,279,130,625/70,823
  6. Step 6: Final answer
    x = 328,694.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.