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Finding the Third Proportional to 253,267.75 and 390,867

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Solution

The third proportional to 253,267.75 and 390,867 is: 603,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,267.75 : 390,867 = 390,867 : x
  2. Step 2: Convert to fraction form
    253,267.75/390,867 = 390,867/x
  3. Step 3: Cross multiply
    253,267.75x = 390,867 × 390,867
  4. Step 4: Simplify right side
    253,267.75x = 152,777,011,689
  5. Step 5: Solve for x
    x = 152,777,011,689/253,267.75
  6. Step 6: Final answer
    x = 603,223.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.