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Finding the Third Proportional to 1,232,689.50 and 2,689,605

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Solution

The third proportional to 1,232,689.50 and 2,689,605 is: 5,868,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,689.50 : 2,689,605 = 2,689,605 : x
  2. Step 2: Convert to fraction form
    1,232,689.50/2,689,605 = 2,689,605/x
  3. Step 3: Cross multiply
    1,232,689.50x = 2,689,605 × 2,689,605
  4. Step 4: Simplify right side
    1,232,689.50x = 7,233,975,056,025
  5. Step 5: Solve for x
    x = 7,233,975,056,025/1,232,689.50
  6. Step 6: Final answer
    x = 5,868,448.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.