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Finding the Third Proportional to 120,429 and 262,307

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Solution

The third proportional to 120,429 and 262,307 is: 571,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,429 : 262,307 = 262,307 : x
  2. Step 2: Convert to fraction form
    120,429/262,307 = 262,307/x
  3. Step 3: Cross multiply
    120,429x = 262,307 × 262,307
  4. Step 4: Simplify right side
    120,429x = 68,804,962,249
  5. Step 5: Solve for x
    x = 68,804,962,249/120,429
  6. Step 6: Final answer
    x = 571,332.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.