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Finding the Third Proportional to 121,410 and 264,964

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Solution

The third proportional to 121,410 and 264,964 is: 578,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,410 : 264,964 = 264,964 : x
  2. Step 2: Convert to fraction form
    121,410/264,964 = 264,964/x
  3. Step 3: Cross multiply
    121,410x = 264,964 × 264,964
  4. Step 4: Simplify right side
    121,410x = 70,205,921,296
  5. Step 5: Solve for x
    x = 70,205,921,296/121,410
  6. Step 6: Final answer
    x = 578,254.85

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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.