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Finding the Third Proportional to 289,725.19 and 448,606.69

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Solution

The third proportional to 289,725.19 and 448,606.69 is: 694,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,725.19 : 448,606.69 = 448,606.69 : x
  2. Step 2: Convert to fraction form
    289,725.19/448,606.69 = 448,606.69/x
  3. Step 3: Cross multiply
    289,725.19x = 448,606.69 × 448,606.69
  4. Step 4: Simplify right side
    289,725.19x = 201,247,960,069.72
  5. Step 5: Solve for x
    x = 201,247,960,069.72/289,725.19
  6. Step 6: Final answer
    x = 694,616.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.