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Finding the Third Proportional to 421,938 and 653,516

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Solution

The third proportional to 421,938 and 653,516 is: 1,012,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,938 : 653,516 = 653,516 : x
  2. Step 2: Convert to fraction form
    421,938/653,516 = 653,516/x
  3. Step 3: Cross multiply
    421,938x = 653,516 × 653,516
  4. Step 4: Simplify right side
    421,938x = 427,083,162,256
  5. Step 5: Solve for x
    x = 427,083,162,256/421,938
  6. Step 6: Final answer
    x = 1,012,194.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.