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Finding the Third Proportional to 415,201.78 and 677,980.13

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Solution

The third proportional to 415,201.78 and 677,980.13 is: 1,107,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,201.78 : 677,980.13 = 677,980.13 : x
  2. Step 2: Convert to fraction form
    415,201.78/677,980.13 = 677,980.13/x
  3. Step 3: Cross multiply
    415,201.78x = 677,980.13 × 677,980.13
  4. Step 4: Simplify right side
    415,201.78x = 459,657,049,895.02
  5. Step 5: Solve for x
    x = 459,657,049,895.02/415,201.78
  6. Step 6: Final answer
    x = 1,107,069.07

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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.