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Finding the Third Proportional to 315,000 and 474,120

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Solution

The third proportional to 315,000 and 474,120 is: 713,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,000 : 474,120 = 474,120 : x
  2. Step 2: Convert to fraction form
    315,000/474,120 = 474,120/x
  3. Step 3: Cross multiply
    315,000x = 474,120 × 474,120
  4. Step 4: Simplify right side
    315,000x = 224,789,774,400
  5. Step 5: Solve for x
    x = 224,789,774,400/315,000
  6. Step 6: Final answer
    x = 713,618.33

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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.