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Finding the Third Proportional to 640,818.84 and 966,150.28

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Solution

The third proportional to 640,818.84 and 966,150.28 is: 1,456,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,818.84 : 966,150.28 = 966,150.28 : x
  2. Step 2: Convert to fraction form
    640,818.84/966,150.28 = 966,150.28/x
  3. Step 3: Cross multiply
    640,818.84x = 966,150.28 × 966,150.28
  4. Step 4: Simplify right side
    640,818.84x = 933,446,365,959.45
  5. Step 5: Solve for x
    x = 933,446,365,959.45/640,818.84
  6. Step 6: Final answer
    x = 1,456,646.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.