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Finding the Third Proportional to 245,207 and 329,520

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Solution

The third proportional to 245,207 and 329,520 is: 442,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,207 : 329,520 = 329,520 : x
  2. Step 2: Convert to fraction form
    245,207/329,520 = 329,520/x
  3. Step 3: Cross multiply
    245,207x = 329,520 × 329,520
  4. Step 4: Simplify right side
    245,207x = 108,583,430,400
  5. Step 5: Solve for x
    x = 108,583,430,400/245,207
  6. Step 6: Final answer
    x = 442,823.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.