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Finding the Third Proportional to 123,220 and 259,320

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Solution

The third proportional to 123,220 and 259,320 is: 545,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,220 : 259,320 = 259,320 : x
  2. Step 2: Convert to fraction form
    123,220/259,320 = 259,320/x
  3. Step 3: Cross multiply
    123,220x = 259,320 × 259,320
  4. Step 4: Simplify right side
    123,220x = 67,246,862,400
  5. Step 5: Solve for x
    x = 67,246,862,400/123,220
  6. Step 6: Final answer
    x = 545,746.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.