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Finding the Third Proportional to 421,688 and 925,408

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Solution

The third proportional to 421,688 and 925,408 is: 2,030,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,688 : 925,408 = 925,408 : x
  2. Step 2: Convert to fraction form
    421,688/925,408 = 925,408/x
  3. Step 3: Cross multiply
    421,688x = 925,408 × 925,408
  4. Step 4: Simplify right side
    421,688x = 856,379,966,464
  5. Step 5: Solve for x
    x = 856,379,966,464/421,688
  6. Step 6: Final answer
    x = 2,030,837.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.