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Finding the Third Proportional to 253,461 and 392,324.25

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Solution

The third proportional to 253,461 and 392,324.25 is: 607,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,461 : 392,324.25 = 392,324.25 : x
  2. Step 2: Convert to fraction form
    253,461/392,324.25 = 392,324.25/x
  3. Step 3: Cross multiply
    253,461x = 392,324.25 × 392,324.25
  4. Step 4: Simplify right side
    253,461x = 153,918,317,138.06
  5. Step 5: Solve for x
    x = 153,918,317,138.06/253,461
  6. Step 6: Final answer
    x = 607,266.27

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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.