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Finding the Third Proportional to 122,699 and 259,545

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Solution

The third proportional to 122,699 and 259,545 is: 549,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,699 : 259,545 = 259,545 : x
  2. Step 2: Convert to fraction form
    122,699/259,545 = 259,545/x
  3. Step 3: Cross multiply
    122,699x = 259,545 × 259,545
  4. Step 4: Simplify right side
    122,699x = 67,363,607,025
  5. Step 5: Solve for x
    x = 67,363,607,025/122,699
  6. Step 6: Final answer
    x = 549,015.13

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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.