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Finding the Third Proportional to 428,378.63 and 930,500.16

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Solution

The third proportional to 428,378.63 and 930,500.16 is: 2,021,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,378.63 : 930,500.16 = 930,500.16 : x
  2. Step 2: Convert to fraction form
    428,378.63/930,500.16 = 930,500.16/x
  3. Step 3: Cross multiply
    428,378.63x = 930,500.16 × 930,500.16
  4. Step 4: Simplify right side
    428,378.63x = 865,830,540,781.27
  5. Step 5: Solve for x
    x = 865,830,540,781.27/428,378.63
  6. Step 6: Final answer
    x = 2,021,180.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.