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Finding the Third Proportional to 315,092 and 484,318

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Solution

The third proportional to 315,092 and 484,318 is: 744,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,092 : 484,318 = 484,318 : x
  2. Step 2: Convert to fraction form
    315,092/484,318 = 484,318/x
  3. Step 3: Cross multiply
    315,092x = 484,318 × 484,318
  4. Step 4: Simplify right side
    315,092x = 234,563,925,124
  5. Step 5: Solve for x
    x = 234,563,925,124/315,092
  6. Step 6: Final answer
    x = 744,429.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.