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Finding the Third Proportional to 112,972 and 245,620

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Solution

The third proportional to 112,972 and 245,620 is: 534,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,972 : 245,620 = 245,620 : x
  2. Step 2: Convert to fraction form
    112,972/245,620 = 245,620/x
  3. Step 3: Cross multiply
    112,972x = 245,620 × 245,620
  4. Step 4: Simplify right side
    112,972x = 60,329,184,400
  5. Step 5: Solve for x
    x = 60,329,184,400/112,972
  6. Step 6: Final answer
    x = 534,018.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.