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Finding the Third Proportional to 448,801 and 960,643

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Solution

The third proportional to 448,801 and 960,643 is: 2,056,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,801 : 960,643 = 960,643 : x
  2. Step 2: Convert to fraction form
    448,801/960,643 = 960,643/x
  3. Step 3: Cross multiply
    448,801x = 960,643 × 960,643
  4. Step 4: Simplify right side
    448,801x = 922,834,973,449
  5. Step 5: Solve for x
    x = 922,834,973,449/448,801
  6. Step 6: Final answer
    x = 2,056,223.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.