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Finding the Third Proportional to 643,574 and 964,119

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Solution

The third proportional to 643,574 and 964,119 is: 1,444,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,574 : 964,119 = 964,119 : x
  2. Step 2: Convert to fraction form
    643,574/964,119 = 964,119/x
  3. Step 3: Cross multiply
    643,574x = 964,119 × 964,119
  4. Step 4: Simplify right side
    643,574x = 929,525,446,161
  5. Step 5: Solve for x
    x = 929,525,446,161/643,574
  6. Step 6: Final answer
    x = 1,444,317.90

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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.