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Finding the Third Proportional to 386,208 and 565,488

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Solution

The third proportional to 386,208 and 565,488 is: 827,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,208 : 565,488 = 565,488 : x
  2. Step 2: Convert to fraction form
    386,208/565,488 = 565,488/x
  3. Step 3: Cross multiply
    386,208x = 565,488 × 565,488
  4. Step 4: Simplify right side
    386,208x = 319,776,678,144
  5. Step 5: Solve for x
    x = 319,776,678,144/386,208
  6. Step 6: Final answer
    x = 827,990.82

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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.