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Finding the Third Proportional to 121,206.38 and 265,558.50

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Solution

The third proportional to 121,206.38 and 265,558.50 is: 581,828.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,206.38 : 265,558.50 = 265,558.50 : x
  2. Step 2: Convert to fraction form
    121,206.38/265,558.50 = 265,558.50/x
  3. Step 3: Cross multiply
    121,206.38x = 265,558.50 × 265,558.50
  4. Step 4: Simplify right side
    121,206.38x = 70,521,316,922.25
  5. Step 5: Solve for x
    x = 70,521,316,922.25/121,206.38
  6. Step 6: Final answer
    x = 581,828.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.