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Finding the Third Proportional to 444,872 and 689,432

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Solution

The third proportional to 444,872 and 689,432 is: 1,068,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,872 : 689,432 = 689,432 : x
  2. Step 2: Convert to fraction form
    444,872/689,432 = 689,432/x
  3. Step 3: Cross multiply
    444,872x = 689,432 × 689,432
  4. Step 4: Simplify right side
    444,872x = 475,316,482,624
  5. Step 5: Solve for x
    x = 475,316,482,624/444,872
  6. Step 6: Final answer
    x = 1,068,434.25

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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.