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Finding the Third Proportional to 122,690 and 264,712

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Solution

The third proportional to 122,690 and 264,712 is: 571,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,690 : 264,712 = 264,712 : x
  2. Step 2: Convert to fraction form
    122,690/264,712 = 264,712/x
  3. Step 3: Cross multiply
    122,690x = 264,712 × 264,712
  4. Step 4: Simplify right side
    122,690x = 70,072,442,944
  5. Step 5: Solve for x
    x = 70,072,442,944/122,690
  6. Step 6: Final answer
    x = 571,134.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.