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Finding the Third Proportional to 315,128 and 474,276

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Solution

The third proportional to 315,128 and 474,276 is: 713,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,128 : 474,276 = 474,276 : x
  2. Step 2: Convert to fraction form
    315,128/474,276 = 474,276/x
  3. Step 3: Cross multiply
    315,128x = 474,276 × 474,276
  4. Step 4: Simplify right side
    315,128x = 224,937,724,176
  5. Step 5: Solve for x
    x = 224,937,724,176/315,128
  6. Step 6: Final answer
    x = 713,797.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.