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Finding the Third Proportional to 440,172 and 659,988

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Solution

The third proportional to 440,172 and 659,988 is: 989,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,172 : 659,988 = 659,988 : x
  2. Step 2: Convert to fraction form
    440,172/659,988 = 659,988/x
  3. Step 3: Cross multiply
    440,172x = 659,988 × 659,988
  4. Step 4: Simplify right side
    440,172x = 435,584,160,144
  5. Step 5: Solve for x
    x = 435,584,160,144/440,172
  6. Step 6: Final answer
    x = 989,577.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.