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Finding the Third Proportional to 784,458 and 1,211,287.92

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Solution

The third proportional to 784,458 and 1,211,287.92 is: 1,870,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,458 : 1,211,287.92 = 1,211,287.92 : x
  2. Step 2: Convert to fraction form
    784,458/1,211,287.92 = 1,211,287.92/x
  3. Step 3: Cross multiply
    784,458x = 1,211,287.92 × 1,211,287.92
  4. Step 4: Simplify right side
    784,458x = 1,467,218,429,680.26
  5. Step 5: Solve for x
    x = 1,467,218,429,680.26/784,458
  6. Step 6: Final answer
    x = 1,870,359.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.