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Finding the Third Proportional to 31,388 and 47,080

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Solution

The third proportional to 31,388 and 47,080 is: 70,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388 : 47,080 = 47,080 : x
  2. Step 2: Convert to fraction form
    31,388/47,080 = 47,080/x
  3. Step 3: Cross multiply
    31,388x = 47,080 × 47,080
  4. Step 4: Simplify right side
    31,388x = 2,216,526,400
  5. Step 5: Solve for x
    x = 2,216,526,400/31,388
  6. Step 6: Final answer
    x = 70,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.