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Finding the Third Proportional to 328,520 and 474,735

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Solution

The third proportional to 328,520 and 474,735 is: 686,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,520 : 474,735 = 474,735 : x
  2. Step 2: Convert to fraction form
    328,520/474,735 = 474,735/x
  3. Step 3: Cross multiply
    328,520x = 474,735 × 474,735
  4. Step 4: Simplify right side
    328,520x = 225,373,320,225
  5. Step 5: Solve for x
    x = 225,373,320,225/328,520
  6. Step 6: Final answer
    x = 686,026.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.