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Finding the Third Proportional to 386,658 and 544,507

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Solution

The third proportional to 386,658 and 544,507 is: 766,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,658 : 544,507 = 544,507 : x
  2. Step 2: Convert to fraction form
    386,658/544,507 = 544,507/x
  3. Step 3: Cross multiply
    386,658x = 544,507 × 544,507
  4. Step 4: Simplify right side
    386,658x = 296,487,873,049
  5. Step 5: Solve for x
    x = 296,487,873,049/386,658
  6. Step 6: Final answer
    x = 766,796.17

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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.