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Finding the Third Proportional to 602,769 and 911,901

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Solution

The third proportional to 602,769 and 911,901 is: 1,379,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,769 : 911,901 = 911,901 : x
  2. Step 2: Convert to fraction form
    602,769/911,901 = 911,901/x
  3. Step 3: Cross multiply
    602,769x = 911,901 × 911,901
  4. Step 4: Simplify right side
    602,769x = 831,563,433,801
  5. Step 5: Solve for x
    x = 831,563,433,801/602,769
  6. Step 6: Final answer
    x = 1,379,572.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.