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Finding the Third Proportional to 386,262 and 577,152

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Solution

The third proportional to 386,262 and 577,152 is: 862,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,262 : 577,152 = 577,152 : x
  2. Step 2: Convert to fraction form
    386,262/577,152 = 577,152/x
  3. Step 3: Cross multiply
    386,262x = 577,152 × 577,152
  4. Step 4: Simplify right side
    386,262x = 333,104,431,104
  5. Step 5: Solve for x
    x = 333,104,431,104/386,262
  6. Step 6: Final answer
    x = 862,379.50

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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.