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Finding the Third Proportional to 305,440 and 631,832

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Solution

The third proportional to 305,440 and 631,832 is: 1,307,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,440 : 631,832 = 631,832 : x
  2. Step 2: Convert to fraction form
    305,440/631,832 = 631,832/x
  3. Step 3: Cross multiply
    305,440x = 631,832 × 631,832
  4. Step 4: Simplify right side
    305,440x = 399,211,676,224
  5. Step 5: Solve for x
    x = 399,211,676,224/305,440
  6. Step 6: Final answer
    x = 1,307,005.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.