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Finding the Third Proportional to 428,330 and 952,402

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Solution

The third proportional to 428,330 and 952,402 is: 2,117,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,330 : 952,402 = 952,402 : x
  2. Step 2: Convert to fraction form
    428,330/952,402 = 952,402/x
  3. Step 3: Cross multiply
    428,330x = 952,402 × 952,402
  4. Step 4: Simplify right side
    428,330x = 907,069,569,604
  5. Step 5: Solve for x
    x = 907,069,569,604/428,330
  6. Step 6: Final answer
    x = 2,117,688.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.