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Finding the Third Proportional to 414,871.24 and 640,732.15

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Solution

The third proportional to 414,871.24 and 640,732.15 is: 989,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,871.24 : 640,732.15 = 640,732.15 : x
  2. Step 2: Convert to fraction form
    414,871.24/640,732.15 = 640,732.15/x
  3. Step 3: Cross multiply
    414,871.24x = 640,732.15 × 640,732.15
  4. Step 4: Simplify right side
    414,871.24x = 410,537,686,041.34
  5. Step 5: Solve for x
    x = 410,537,686,041.34/414,871.24
  6. Step 6: Final answer
    x = 989,554.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.