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Finding the Third Proportional to 245,658.75 and 520,841.25

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Solution

The third proportional to 245,658.75 and 520,841.25 is: 1,104,278.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,658.75 : 520,841.25 = 520,841.25 : x
  2. Step 2: Convert to fraction form
    245,658.75/520,841.25 = 520,841.25/x
  3. Step 3: Cross multiply
    245,658.75x = 520,841.25 × 520,841.25
  4. Step 4: Simplify right side
    245,658.75x = 271,275,607,701.56
  5. Step 5: Solve for x
    x = 271,275,607,701.56/245,658.75
  6. Step 6: Final answer
    x = 1,104,278.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.