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Finding the Third Proportional to 765,286.50 and 1,194,451.50

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Solution

The third proportional to 765,286.50 and 1,194,451.50 is: 1,864,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,286.50 : 1,194,451.50 = 1,194,451.50 : x
  2. Step 2: Convert to fraction form
    765,286.50/1,194,451.50 = 1,194,451.50/x
  3. Step 3: Cross multiply
    765,286.50x = 1,194,451.50 × 1,194,451.50
  4. Step 4: Simplify right side
    765,286.50x = 1,426,714,385,852.25
  5. Step 5: Solve for x
    x = 1,426,714,385,852.25/765,286.50
  6. Step 6: Final answer
    x = 1,864,287.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.