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Finding the Third Proportional to 645,468.75 and 1,364,809.50

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Solution

The third proportional to 645,468.75 and 1,364,809.50 is: 2,885,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,468.75 : 1,364,809.50 = 1,364,809.50 : x
  2. Step 2: Convert to fraction form
    645,468.75/1,364,809.50 = 1,364,809.50/x
  3. Step 3: Cross multiply
    645,468.75x = 1,364,809.50 × 1,364,809.50
  4. Step 4: Simplify right side
    645,468.75x = 1,862,704,971,290.25
  5. Step 5: Solve for x
    x = 1,862,704,971,290.25/645,468.75
  6. Step 6: Final answer
    x = 2,885,817.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.