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Finding the Third Proportional to 420,409 and 651,269

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Solution

The third proportional to 420,409 and 651,269 is: 1,008,901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,409 : 651,269 = 651,269 : x
  2. Step 2: Convert to fraction form
    420,409/651,269 = 651,269/x
  3. Step 3: Cross multiply
    420,409x = 651,269 × 651,269
  4. Step 4: Simplify right side
    420,409x = 424,151,310,361
  5. Step 5: Solve for x
    x = 424,151,310,361/420,409
  6. Step 6: Final answer
    x = 1,008,901.59

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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.