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Finding the Third Proportional to 509,581.13 and 788,016.09

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Solution

The third proportional to 509,581.13 and 788,016.09 is: 1,218,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,581.13 : 788,016.09 = 788,016.09 : x
  2. Step 2: Convert to fraction form
    509,581.13/788,016.09 = 788,016.09/x
  3. Step 3: Cross multiply
    509,581.13x = 788,016.09 × 788,016.09
  4. Step 4: Simplify right side
    509,581.13x = 620,969,364,009.01
  5. Step 5: Solve for x
    x = 620,969,364,009.01/509,581.13
  6. Step 6: Final answer
    x = 1,218,587.84

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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.