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Finding the Third Proportional to 31,430 and 47,043

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Solution

The third proportional to 31,430 and 47,043 is: 70,411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430 : 47,043 = 47,043 : x
  2. Step 2: Convert to fraction form
    31,430/47,043 = 47,043/x
  3. Step 3: Cross multiply
    31,430x = 47,043 × 47,043
  4. Step 4: Simplify right side
    31,430x = 2,213,043,849
  5. Step 5: Solve for x
    x = 2,213,043,849/31,430
  6. Step 6: Final answer
    x = 70,411.83

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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.