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Finding the Third Proportional to 428,174 and 602,431

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Solution

The third proportional to 428,174 and 602,431 is: 847,606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,174 : 602,431 = 602,431 : x
  2. Step 2: Convert to fraction form
    428,174/602,431 = 602,431/x
  3. Step 3: Cross multiply
    428,174x = 602,431 × 602,431
  4. Step 4: Simplify right side
    428,174x = 362,923,109,761
  5. Step 5: Solve for x
    x = 362,923,109,761/428,174
  6. Step 6: Final answer
    x = 847,606.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.