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Finding the Third Proportional to 272,711 and 579,891.50

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Solution

The third proportional to 272,711 and 579,891.50 is: 1,233,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,711 : 579,891.50 = 579,891.50 : x
  2. Step 2: Convert to fraction form
    272,711/579,891.50 = 579,891.50/x
  3. Step 3: Cross multiply
    272,711x = 579,891.50 × 579,891.50
  4. Step 4: Simplify right side
    272,711x = 336,274,151,772.25
  5. Step 5: Solve for x
    x = 336,274,151,772.25/272,711
  6. Step 6: Final answer
    x = 1,233,078.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.