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Finding the Third Proportional to 149,124.16 and 315,521.26

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Solution

The third proportional to 149,124.16 and 315,521.26 is: 667,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,124.16 : 315,521.26 = 315,521.26 : x
  2. Step 2: Convert to fraction form
    149,124.16/315,521.26 = 315,521.26/x
  3. Step 3: Cross multiply
    149,124.16x = 315,521.26 × 315,521.26
  4. Step 4: Simplify right side
    149,124.16x = 99,553,666,596.59
  5. Step 5: Solve for x
    x = 99,553,666,596.59/149,124.16
  6. Step 6: Final answer
    x = 667,589.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.