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Finding the Third Proportional to 190,420.88 and 407,085.75

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Solution

The third proportional to 190,420.88 and 407,085.75 is: 870,276.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,420.88 : 407,085.75 = 407,085.75 : x
  2. Step 2: Convert to fraction form
    190,420.88/407,085.75 = 407,085.75/x
  3. Step 3: Cross multiply
    190,420.88x = 407,085.75 × 407,085.75
  4. Step 4: Simplify right side
    190,420.88x = 165,718,807,853.06
  5. Step 5: Solve for x
    x = 165,718,807,853.06/190,420.88
  6. Step 6: Final answer
    x = 870,276.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.