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Finding the Third Proportional to 353,128 and 530,480

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Solution

The third proportional to 353,128 and 530,480 is: 796,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,128 : 530,480 = 530,480 : x
  2. Step 2: Convert to fraction form
    353,128/530,480 = 530,480/x
  3. Step 3: Cross multiply
    353,128x = 530,480 × 530,480
  4. Step 4: Simplify right side
    353,128x = 281,409,030,400
  5. Step 5: Solve for x
    x = 281,409,030,400/353,128
  6. Step 6: Final answer
    x = 796,903.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.