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Finding the Third Proportional to 643,501.13 and 964,009.69

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Solution

The third proportional to 643,501.13 and 964,009.69 is: 1,444,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,501.13 : 964,009.69 = 964,009.69 : x
  2. Step 2: Convert to fraction form
    643,501.13/964,009.69 = 964,009.69/x
  3. Step 3: Cross multiply
    643,501.13x = 964,009.69 × 964,009.69
  4. Step 4: Simplify right side
    643,501.13x = 929,314,677,593.85
  5. Step 5: Solve for x
    x = 929,314,677,593.85/643,501.13
  6. Step 6: Final answer
    x = 1,444,153.93

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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.