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Finding the Third Proportional to 423,645.75 and 645,391.13

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Solution

The third proportional to 423,645.75 and 645,391.13 is: 983,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,645.75 : 645,391.13 = 645,391.13 : x
  2. Step 2: Convert to fraction form
    423,645.75/645,391.13 = 645,391.13/x
  3. Step 3: Cross multiply
    423,645.75x = 645,391.13 × 645,391.13
  4. Step 4: Simplify right side
    423,645.75x = 416,529,704,228.77
  5. Step 5: Solve for x
    x = 416,529,704,228.77/423,645.75
  6. Step 6: Final answer
    x = 983,202.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.