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Finding the Third Proportional to 508,218 and 748,245

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Solution

The third proportional to 508,218 and 748,245 is: 1,101,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,218 : 748,245 = 748,245 : x
  2. Step 2: Convert to fraction form
    508,218/748,245 = 748,245/x
  3. Step 3: Cross multiply
    508,218x = 748,245 × 748,245
  4. Step 4: Simplify right side
    508,218x = 559,870,580,025
  5. Step 5: Solve for x
    x = 559,870,580,025/508,218
  6. Step 6: Final answer
    x = 1,101,634.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.