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Finding the Third Proportional to 209,916.56 and 315,927.84

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Solution

The third proportional to 209,916.56 and 315,927.84 is: 475,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,916.56 : 315,927.84 = 315,927.84 : x
  2. Step 2: Convert to fraction form
    209,916.56/315,927.84 = 315,927.84/x
  3. Step 3: Cross multiply
    209,916.56x = 315,927.84 × 315,927.84
  4. Step 4: Simplify right side
    209,916.56x = 99,810,402,456.52
  5. Step 5: Solve for x
    x = 99,810,402,456.52/209,916.56
  6. Step 6: Final answer
    x = 475,476.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.