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Finding the Third Proportional to 643,557 and 964,093.50

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Solution

The third proportional to 643,557 and 964,093.50 is: 1,444,279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,557 : 964,093.50 = 964,093.50 : x
  2. Step 2: Convert to fraction form
    643,557/964,093.50 = 964,093.50/x
  3. Step 3: Cross multiply
    643,557x = 964,093.50 × 964,093.50
  4. Step 4: Simplify right side
    643,557x = 929,476,276,742.25
  5. Step 5: Solve for x
    x = 929,476,276,742.25/643,557
  6. Step 6: Final answer
    x = 1,444,279.65

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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.