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Finding the Third Proportional to 221,461.50 and 519,915.75

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Solution

The third proportional to 221,461.50 and 519,915.75 is: 1,220,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,461.50 : 519,915.75 = 519,915.75 : x
  2. Step 2: Convert to fraction form
    221,461.50/519,915.75 = 519,915.75/x
  3. Step 3: Cross multiply
    221,461.50x = 519,915.75 × 519,915.75
  4. Step 4: Simplify right side
    221,461.50x = 270,312,387,098.06
  5. Step 5: Solve for x
    x = 270,312,387,098.06/221,461.50
  6. Step 6: Final answer
    x = 1,220,584.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.