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Finding the Third Proportional to 444,809 and 688,490

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Solution

The third proportional to 444,809 and 688,490 is: 1,065,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,809 : 688,490 = 688,490 : x
  2. Step 2: Convert to fraction form
    444,809/688,490 = 688,490/x
  3. Step 3: Cross multiply
    444,809x = 688,490 × 688,490
  4. Step 4: Simplify right side
    444,809x = 474,018,480,100
  5. Step 5: Solve for x
    x = 474,018,480,100/444,809
  6. Step 6: Final answer
    x = 1,065,667.47

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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.