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Finding the Third Proportional to 445,496 and 643,664

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Solution

The third proportional to 445,496 and 643,664 is: 929,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,496 : 643,664 = 643,664 : x
  2. Step 2: Convert to fraction form
    445,496/643,664 = 643,664/x
  3. Step 3: Cross multiply
    445,496x = 643,664 × 643,664
  4. Step 4: Simplify right side
    445,496x = 414,303,344,896
  5. Step 5: Solve for x
    x = 414,303,344,896/445,496
  6. Step 6: Final answer
    x = 929,982.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.