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Finding the Third Proportional to 31,604 and 70,208

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Solution

The third proportional to 31,604 and 70,208 is: 155,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604 : 70,208 = 70,208 : x
  2. Step 2: Convert to fraction form
    31,604/70,208 = 70,208/x
  3. Step 3: Cross multiply
    31,604x = 70,208 × 70,208
  4. Step 4: Simplify right side
    31,604x = 4,929,163,264
  5. Step 5: Solve for x
    x = 4,929,163,264/31,604
  6. Step 6: Final answer
    x = 155,966.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.