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Finding the Third Proportional to 309,946.50 and 474,102

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Solution

The third proportional to 309,946.50 and 474,102 is: 725,198.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,946.50 : 474,102 = 474,102 : x
  2. Step 2: Convert to fraction form
    309,946.50/474,102 = 474,102/x
  3. Step 3: Cross multiply
    309,946.50x = 474,102 × 474,102
  4. Step 4: Simplify right side
    309,946.50x = 224,772,706,404
  5. Step 5: Solve for x
    x = 224,772,706,404/309,946.50
  6. Step 6: Final answer
    x = 725,198.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.