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Finding the Third Proportional to 258,507 and 386,217

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Solution

The third proportional to 258,507 and 386,217 is: 577,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,507 : 386,217 = 386,217 : x
  2. Step 2: Convert to fraction form
    258,507/386,217 = 386,217/x
  3. Step 3: Cross multiply
    258,507x = 386,217 × 386,217
  4. Step 4: Simplify right side
    258,507x = 149,163,571,089
  5. Step 5: Solve for x
    x = 149,163,571,089/258,507
  6. Step 6: Final answer
    x = 577,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.