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Finding the Third Proportional to 310,632 and 661,968

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Solution

The third proportional to 310,632 and 661,968 is: 1,410,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632 : 661,968 = 661,968 : x
  2. Step 2: Convert to fraction form
    310,632/661,968 = 661,968/x
  3. Step 3: Cross multiply
    310,632x = 661,968 × 661,968
  4. Step 4: Simplify right side
    310,632x = 438,201,633,024
  5. Step 5: Solve for x
    x = 438,201,633,024/310,632
  6. Step 6: Final answer
    x = 1,410,677.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.