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Finding the Third Proportional to 638,661 and 960,664.50

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Solution

The third proportional to 638,661 and 960,664.50 is: 1,445,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,661 : 960,664.50 = 960,664.50 : x
  2. Step 2: Convert to fraction form
    638,661/960,664.50 = 960,664.50/x
  3. Step 3: Cross multiply
    638,661x = 960,664.50 × 960,664.50
  4. Step 4: Simplify right side
    638,661x = 922,876,281,560.25
  5. Step 5: Solve for x
    x = 922,876,281,560.25/638,661
  6. Step 6: Final answer
    x = 1,445,017.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.