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Finding the Third Proportional to 30,709.76 and 47,036.64

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Solution

The third proportional to 30,709.76 and 47,036.64 is: 72,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.76 : 47,036.64 = 47,036.64 : x
  2. Step 2: Convert to fraction form
    30,709.76/47,036.64 = 47,036.64/x
  3. Step 3: Cross multiply
    30,709.76x = 47,036.64 × 47,036.64
  4. Step 4: Simplify right side
    30,709.76x = 2,212,445,193.81
  5. Step 5: Solve for x
    x = 2,212,445,193.81/30,709.76
  6. Step 6: Final answer
    x = 72,043.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.