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Finding the Third Proportional to 410,690 and 614,364

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Solution

The third proportional to 410,690 and 614,364 is: 919,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,690 : 614,364 = 614,364 : x
  2. Step 2: Convert to fraction form
    410,690/614,364 = 614,364/x
  3. Step 3: Cross multiply
    410,690x = 614,364 × 614,364
  4. Step 4: Simplify right side
    410,690x = 377,443,124,496
  5. Step 5: Solve for x
    x = 377,443,124,496/410,690
  6. Step 6: Final answer
    x = 919,046.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.