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Finding the Third Proportional to 121,378.50 and 264,900.38

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Solution

The third proportional to 121,378.50 and 264,900.38 is: 578,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,378.50 : 264,900.38 = 264,900.38 : x
  2. Step 2: Convert to fraction form
    121,378.50/264,900.38 = 264,900.38/x
  3. Step 3: Cross multiply
    121,378.50x = 264,900.38 × 264,900.38
  4. Step 4: Simplify right side
    121,378.50x = 70,172,208,675.14
  5. Step 5: Solve for x
    x = 70,172,208,675.14/121,378.50
  6. Step 6: Final answer
    x = 578,127.17

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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.