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Finding the Third Proportional to 386,039.63 and 556,909.31

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Solution

The third proportional to 386,039.63 and 556,909.31 is: 803,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,039.63 : 556,909.31 = 556,909.31 : x
  2. Step 2: Convert to fraction form
    386,039.63/556,909.31 = 556,909.31/x
  3. Step 3: Cross multiply
    386,039.63x = 556,909.31 × 556,909.31
  4. Step 4: Simplify right side
    386,039.63x = 310,147,982,349.22
  5. Step 5: Solve for x
    x = 310,147,982,349.22/386,039.63
  6. Step 6: Final answer
    x = 803,409.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.