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Finding the Third Proportional to 415,540.13 and 678,466.13

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Solution

The third proportional to 415,540.13 and 678,466.13 is: 1,107,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,540.13 : 678,466.13 = 678,466.13 : x
  2. Step 2: Convert to fraction form
    415,540.13/678,466.13 = 678,466.13/x
  3. Step 3: Cross multiply
    415,540.13x = 678,466.13 × 678,466.13
  4. Step 4: Simplify right side
    415,540.13x = 460,316,282,772.52
  5. Step 5: Solve for x
    x = 460,316,282,772.52/415,540.13
  6. Step 6: Final answer
    x = 1,107,754.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.