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Finding the Third Proportional to 30,497.50 and 64,883

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Solution

The third proportional to 30,497.50 and 64,883 is: 138,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.50 : 64,883 = 64,883 : x
  2. Step 2: Convert to fraction form
    30,497.50/64,883 = 64,883/x
  3. Step 3: Cross multiply
    30,497.50x = 64,883 × 64,883
  4. Step 4: Simplify right side
    30,497.50x = 4,209,803,689
  5. Step 5: Solve for x
    x = 4,209,803,689/30,497.50
  6. Step 6: Final answer
    x = 138,037.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.