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Finding the Third Proportional to 413,610 and 663,606

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Solution

The third proportional to 413,610 and 663,606 is: 1,064,705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,610 : 663,606 = 663,606 : x
  2. Step 2: Convert to fraction form
    413,610/663,606 = 663,606/x
  3. Step 3: Cross multiply
    413,610x = 663,606 × 663,606
  4. Step 4: Simplify right side
    413,610x = 440,372,923,236
  5. Step 5: Solve for x
    x = 440,372,923,236/413,610
  6. Step 6: Final answer
    x = 1,064,705.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.