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Finding the Third Proportional to 315,084.75 and 484,308

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Solution

The third proportional to 315,084.75 and 484,308 is: 744,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,084.75 : 484,308 = 484,308 : x
  2. Step 2: Convert to fraction form
    315,084.75/484,308 = 484,308/x
  3. Step 3: Cross multiply
    315,084.75x = 484,308 × 484,308
  4. Step 4: Simplify right side
    315,084.75x = 234,554,238,864
  5. Step 5: Solve for x
    x = 234,554,238,864/315,084.75
  6. Step 6: Final answer
    x = 744,416.35

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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.