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Finding the Third Proportional to 393,642.28 and 590,360.91

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Solution

The third proportional to 393,642.28 and 590,360.91 is: 885,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,642.28 : 590,360.91 = 590,360.91 : x
  2. Step 2: Convert to fraction form
    393,642.28/590,360.91 = 590,360.91/x
  3. Step 3: Cross multiply
    393,642.28x = 590,360.91 × 590,360.91
  4. Step 4: Simplify right side
    393,642.28x = 348,525,999,628.32
  5. Step 5: Solve for x
    x = 348,525,999,628.32/393,642.28
  6. Step 6: Final answer
    x = 885,387.61

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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.