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Finding the Third Proportional to 121,088.25 and 264,640.50

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Solution

The third proportional to 121,088.25 and 264,640.50 is: 578,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,088.25 : 264,640.50 = 264,640.50 : x
  2. Step 2: Convert to fraction form
    121,088.25/264,640.50 = 264,640.50/x
  3. Step 3: Cross multiply
    121,088.25x = 264,640.50 × 264,640.50
  4. Step 4: Simplify right side
    121,088.25x = 70,034,594,240.25
  5. Step 5: Solve for x
    x = 70,034,594,240.25/121,088.25
  6. Step 6: Final answer
    x = 578,376.47

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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.