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Finding the Third Proportional to 664,631 and 974,739

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Solution

The third proportional to 664,631 and 974,739 is: 1,429,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,631 : 974,739 = 974,739 : x
  2. Step 2: Convert to fraction form
    664,631/974,739 = 974,739/x
  3. Step 3: Cross multiply
    664,631x = 974,739 × 974,739
  4. Step 4: Simplify right side
    664,631x = 950,116,118,121
  5. Step 5: Solve for x
    x = 950,116,118,121/664,631
  6. Step 6: Final answer
    x = 1,429,539.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.