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Finding the Third Proportional to 315,724 and 482,984

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Solution

The third proportional to 315,724 and 482,984 is: 738,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,724 : 482,984 = 482,984 : x
  2. Step 2: Convert to fraction form
    315,724/482,984 = 482,984/x
  3. Step 3: Cross multiply
    315,724x = 482,984 × 482,984
  4. Step 4: Simplify right side
    315,724x = 233,273,544,256
  5. Step 5: Solve for x
    x = 233,273,544,256/315,724
  6. Step 6: Final answer
    x = 738,852.75

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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.