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Finding the Third Proportional to 72,429.19 and 120,406.50

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Solution

The third proportional to 72,429.19 and 120,406.50 is: 200,164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,429.19 : 120,406.50 = 120,406.50 : x
  2. Step 2: Convert to fraction form
    72,429.19/120,406.50 = 120,406.50/x
  3. Step 3: Cross multiply
    72,429.19x = 120,406.50 × 120,406.50
  4. Step 4: Simplify right side
    72,429.19x = 14,497,725,242.25
  5. Step 5: Solve for x
    x = 14,497,725,242.25/72,429.19
  6. Step 6: Final answer
    x = 200,164.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.