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Finding the Third Proportional to 386,234 and 565,525

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Solution

The third proportional to 386,234 and 565,525 is: 828,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,234 : 565,525 = 565,525 : x
  2. Step 2: Convert to fraction form
    386,234/565,525 = 565,525/x
  3. Step 3: Cross multiply
    386,234x = 565,525 × 565,525
  4. Step 4: Simplify right side
    386,234x = 319,818,525,625
  5. Step 5: Solve for x
    x = 319,818,525,625/386,234
  6. Step 6: Final answer
    x = 828,043.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.