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Finding the Third Proportional to 121,033.50 and 256,461

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Solution

The third proportional to 121,033.50 and 256,461 is: 543,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,033.50 : 256,461 = 256,461 : x
  2. Step 2: Convert to fraction form
    121,033.50/256,461 = 256,461/x
  3. Step 3: Cross multiply
    121,033.50x = 256,461 × 256,461
  4. Step 4: Simplify right side
    121,033.50x = 65,772,244,521
  5. Step 5: Solve for x
    x = 65,772,244,521/121,033.50
  6. Step 6: Final answer
    x = 543,421.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.