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Finding the Third Proportional to 258,384.94 and 403,807.78

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Solution

The third proportional to 258,384.94 and 403,807.78 is: 631,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,384.94 : 403,807.78 = 403,807.78 : x
  2. Step 2: Convert to fraction form
    258,384.94/403,807.78 = 403,807.78/x
  3. Step 3: Cross multiply
    258,384.94x = 403,807.78 × 403,807.78
  4. Step 4: Simplify right side
    258,384.94x = 163,060,724,198.05
  5. Step 5: Solve for x
    x = 163,060,724,198.05/258,384.94
  6. Step 6: Final answer
    x = 631,076.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.