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Finding the Third Proportional to 258,510 and 386,221

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Solution

The third proportional to 258,510 and 386,221 is: 577,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,510 : 386,221 = 386,221 : x
  2. Step 2: Convert to fraction form
    258,510/386,221 = 386,221/x
  3. Step 3: Cross multiply
    258,510x = 386,221 × 386,221
  4. Step 4: Simplify right side
    258,510x = 149,166,660,841
  5. Step 5: Solve for x
    x = 149,166,660,841/258,510
  6. Step 6: Final answer
    x = 577,024.72

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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.