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Finding the Third Proportional to 393,643.13 and 590,362.31

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Solution

The third proportional to 393,643.13 and 590,362.31 is: 885,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,643.13 : 590,362.31 = 590,362.31 : x
  2. Step 2: Convert to fraction form
    393,643.13/590,362.31 = 590,362.31/x
  3. Step 3: Cross multiply
    393,643.13x = 590,362.31 × 590,362.31
  4. Step 4: Simplify right side
    393,643.13x = 348,527,660,020.35
  5. Step 5: Solve for x
    x = 348,527,660,020.35/393,643.13
  6. Step 6: Final answer
    x = 885,389.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.