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Finding the Third Proportional to 643,502 and 964,011

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Solution

The third proportional to 643,502 and 964,011 is: 1,444,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,502 : 964,011 = 964,011 : x
  2. Step 2: Convert to fraction form
    643,502/964,011 = 964,011/x
  3. Step 3: Cross multiply
    643,502x = 964,011 × 964,011
  4. Step 4: Simplify right side
    643,502x = 929,317,208,121
  5. Step 5: Solve for x
    x = 929,317,208,121/643,502
  6. Step 6: Final answer
    x = 1,444,155.90

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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.