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Finding the Third Proportional to 616,836 and 920,137

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Solution

The third proportional to 616,836 and 920,137 is: 1,372,572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,836 : 920,137 = 920,137 : x
  2. Step 2: Convert to fraction form
    616,836/920,137 = 920,137/x
  3. Step 3: Cross multiply
    616,836x = 920,137 × 920,137
  4. Step 4: Simplify right side
    616,836x = 846,652,098,769
  5. Step 5: Solve for x
    x = 846,652,098,769/616,836
  6. Step 6: Final answer
    x = 1,372,572.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.