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Finding the Third Proportional to 645,435 and 1,418,253

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Solution

The third proportional to 645,435 and 1,418,253 is: 3,116,412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,435 : 1,418,253 = 1,418,253 : x
  2. Step 2: Convert to fraction form
    645,435/1,418,253 = 1,418,253/x
  3. Step 3: Cross multiply
    645,435x = 1,418,253 × 1,418,253
  4. Step 4: Simplify right side
    645,435x = 2,011,441,572,009
  5. Step 5: Solve for x
    x = 2,011,441,572,009/645,435
  6. Step 6: Final answer
    x = 3,116,412.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.