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Finding the Third Proportional to 414,543 and 608,206.50

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Solution

The third proportional to 414,543 and 608,206.50 is: 892,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543 : 608,206.50 = 608,206.50 : x
  2. Step 2: Convert to fraction form
    414,543/608,206.50 = 608,206.50/x
  3. Step 3: Cross multiply
    414,543x = 608,206.50 × 608,206.50
  4. Step 4: Simplify right side
    414,543x = 369,915,146,642.25
  5. Step 5: Solve for x
    x = 369,915,146,642.25/414,543
  6. Step 6: Final answer
    x = 892,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.