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Finding the Third Proportional to 356,607 and 729,610

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Solution

The third proportional to 356,607 and 729,610 is: 1,492,765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,607 : 729,610 = 729,610 : x
  2. Step 2: Convert to fraction form
    356,607/729,610 = 729,610/x
  3. Step 3: Cross multiply
    356,607x = 729,610 × 729,610
  4. Step 4: Simplify right side
    356,607x = 532,330,752,100
  5. Step 5: Solve for x
    x = 532,330,752,100/356,607
  6. Step 6: Final answer
    x = 1,492,765.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.