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Finding the Third Proportional to 336,883 and 729,830

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Solution

The third proportional to 336,883 and 729,830 is: 1,581,118.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,883 : 729,830 = 729,830 : x
  2. Step 2: Convert to fraction form
    336,883/729,830 = 729,830/x
  3. Step 3: Cross multiply
    336,883x = 729,830 × 729,830
  4. Step 4: Simplify right side
    336,883x = 532,651,828,900
  5. Step 5: Solve for x
    x = 532,651,828,900/336,883
  6. Step 6: Final answer
    x = 1,581,118.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.