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Finding the Third Proportional to 421,724 and 910,806

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Solution

The third proportional to 421,724 and 910,806 is: 1,967,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,724 : 910,806 = 910,806 : x
  2. Step 2: Convert to fraction form
    421,724/910,806 = 910,806/x
  3. Step 3: Cross multiply
    421,724x = 910,806 × 910,806
  4. Step 4: Simplify right side
    421,724x = 829,567,569,636
  5. Step 5: Solve for x
    x = 829,567,569,636/421,724
  6. Step 6: Final answer
    x = 1,967,086.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.