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Finding the Third Proportional to 386,590 and 544,407

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Solution

The third proportional to 386,590 and 544,407 is: 766,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,590 : 544,407 = 544,407 : x
  2. Step 2: Convert to fraction form
    386,590/544,407 = 544,407/x
  3. Step 3: Cross multiply
    386,590x = 544,407 × 544,407
  4. Step 4: Simplify right side
    386,590x = 296,378,981,649
  5. Step 5: Solve for x
    x = 296,378,981,649/386,590
  6. Step 6: Final answer
    x = 766,649.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.