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Finding the Third Proportional to 29,742.75 and 64,385.63

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Solution

The third proportional to 29,742.75 and 64,385.63 is: 139,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.75 : 64,385.63 = 64,385.63 : x
  2. Step 2: Convert to fraction form
    29,742.75/64,385.63 = 64,385.63/x
  3. Step 3: Cross multiply
    29,742.75x = 64,385.63 × 64,385.63
  4. Step 4: Simplify right side
    29,742.75x = 4,145,508,706.64
  5. Step 5: Solve for x
    x = 4,145,508,706.64/29,742.75
  6. Step 6: Final answer
    x = 139,378.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.