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Finding the Third Proportional to 316,138 and 484,732

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Solution

The third proportional to 316,138 and 484,732 is: 743,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,138 : 484,732 = 484,732 : x
  2. Step 2: Convert to fraction form
    316,138/484,732 = 484,732/x
  3. Step 3: Cross multiply
    316,138x = 484,732 × 484,732
  4. Step 4: Simplify right side
    316,138x = 234,965,111,824
  5. Step 5: Solve for x
    x = 234,965,111,824/316,138
  6. Step 6: Final answer
    x = 743,235.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.