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Finding the Third Proportional to 445,023 and 688,653

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Solution

The third proportional to 445,023 and 688,653 is: 1,065,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,023 : 688,653 = 688,653 : x
  2. Step 2: Convert to fraction form
    445,023/688,653 = 688,653/x
  3. Step 3: Cross multiply
    445,023x = 688,653 × 688,653
  4. Step 4: Simplify right side
    445,023x = 474,242,954,409
  5. Step 5: Solve for x
    x = 474,242,954,409/445,023
  6. Step 6: Final answer
    x = 1,065,659.43

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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.