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Finding the Third Proportional to 270,240 and 418,471.50

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Solution

The third proportional to 270,240 and 418,471.50 is: 648,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,240 : 418,471.50 = 418,471.50 : x
  2. Step 2: Convert to fraction form
    270,240/418,471.50 = 418,471.50/x
  3. Step 3: Cross multiply
    270,240x = 418,471.50 × 418,471.50
  4. Step 4: Simplify right side
    270,240x = 175,118,396,312.25
  5. Step 5: Solve for x
    x = 175,118,396,312.25/270,240
  6. Step 6: Final answer
    x = 648,010.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.