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Finding the Third Proportional to 669,712 and 938,856

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Solution

The third proportional to 669,712 and 938,856 is: 1,316,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,712 : 938,856 = 938,856 : x
  2. Step 2: Convert to fraction form
    669,712/938,856 = 938,856/x
  3. Step 3: Cross multiply
    669,712x = 938,856 × 938,856
  4. Step 4: Simplify right side
    669,712x = 881,450,588,736
  5. Step 5: Solve for x
    x = 881,450,588,736/669,712
  6. Step 6: Final answer
    x = 1,316,163.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.