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Finding the Third Proportional to 254,427 and 393,595.50

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Solution

The third proportional to 254,427 and 393,595.50 is: 608,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,427 : 393,595.50 = 393,595.50 : x
  2. Step 2: Convert to fraction form
    254,427/393,595.50 = 393,595.50/x
  3. Step 3: Cross multiply
    254,427x = 393,595.50 × 393,595.50
  4. Step 4: Simplify right side
    254,427x = 154,917,417,620.25
  5. Step 5: Solve for x
    x = 154,917,417,620.25/254,427
  6. Step 6: Final answer
    x = 608,887.49

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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.