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Finding the Third Proportional to 428,024.25 and 640,866.94

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Solution

The third proportional to 428,024.25 and 640,866.94 is: 959,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,024.25 : 640,866.94 = 640,866.94 : x
  2. Step 2: Convert to fraction form
    428,024.25/640,866.94 = 640,866.94/x
  3. Step 3: Cross multiply
    428,024.25x = 640,866.94 × 640,866.94
  4. Step 4: Simplify right side
    428,024.25x = 410,710,431,580.63
  5. Step 5: Solve for x
    x = 410,710,431,580.63/428,024.25
  6. Step 6: Final answer
    x = 959,549.45

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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.