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Finding the Third Proportional to 431,473.50 and 918,306

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Solution

The third proportional to 431,473.50 and 918,306 is: 1,954,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,473.50 : 918,306 = 918,306 : x
  2. Step 2: Convert to fraction form
    431,473.50/918,306 = 918,306/x
  3. Step 3: Cross multiply
    431,473.50x = 918,306 × 918,306
  4. Step 4: Simplify right side
    431,473.50x = 843,285,909,636
  5. Step 5: Solve for x
    x = 843,285,909,636/431,473.50
  6. Step 6: Final answer
    x = 1,954,432.68

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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.