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Finding the Third Proportional to 418,614.19 and 917,018.44

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Solution

The third proportional to 418,614.19 and 917,018.44 is: 2,008,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,614.19 : 917,018.44 = 917,018.44 : x
  2. Step 2: Convert to fraction form
    418,614.19/917,018.44 = 917,018.44/x
  3. Step 3: Cross multiply
    418,614.19x = 917,018.44 × 917,018.44
  4. Step 4: Simplify right side
    418,614.19x = 840,922,814,714.94
  5. Step 5: Solve for x
    x = 840,922,814,714.94/418,614.19
  6. Step 6: Final answer
    x = 2,008,825.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.