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Finding the Third Proportional to 120,356 and 260,792

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Solution

The third proportional to 120,356 and 260,792 is: 565,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356 : 260,792 = 260,792 : x
  2. Step 2: Convert to fraction form
    120,356/260,792 = 260,792/x
  3. Step 3: Cross multiply
    120,356x = 260,792 × 260,792
  4. Step 4: Simplify right side
    120,356x = 68,012,467,264
  5. Step 5: Solve for x
    x = 68,012,467,264/120,356
  6. Step 6: Final answer
    x = 565,094.11

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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.