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Finding the Third Proportional to 123,040 and 260,660

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Solution

The third proportional to 123,040 and 260,660 is: 552,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040 : 260,660 = 260,660 : x
  2. Step 2: Convert to fraction form
    123,040/260,660 = 260,660/x
  3. Step 3: Cross multiply
    123,040x = 260,660 × 260,660
  4. Step 4: Simplify right side
    123,040x = 67,943,635,600
  5. Step 5: Solve for x
    x = 67,943,635,600/123,040
  6. Step 6: Final answer
    x = 552,207.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.