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Finding the Third Proportional to 420,896 and 915,520

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Solution

The third proportional to 420,896 and 915,520 is: 1,991,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,896 : 915,520 = 915,520 : x
  2. Step 2: Convert to fraction form
    420,896/915,520 = 915,520/x
  3. Step 3: Cross multiply
    420,896x = 915,520 × 915,520
  4. Step 4: Simplify right side
    420,896x = 838,176,870,400
  5. Step 5: Solve for x
    x = 838,176,870,400/420,896
  6. Step 6: Final answer
    x = 1,991,410.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.