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Finding the Third Proportional to 253,461 and 392,325

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Solution

The third proportional to 253,461 and 392,325 is: 607,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,461 : 392,325 = 392,325 : x
  2. Step 2: Convert to fraction form
    253,461/392,325 = 392,325/x
  3. Step 3: Cross multiply
    253,461x = 392,325 × 392,325
  4. Step 4: Simplify right side
    253,461x = 153,918,905,625
  5. Step 5: Solve for x
    x = 153,918,905,625/253,461
  6. Step 6: Final answer
    x = 607,268.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.