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Finding the Third Proportional to 221,557 and 334,975.50

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Solution

The third proportional to 221,557 and 334,975.50 is: 506,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,557 : 334,975.50 = 334,975.50 : x
  2. Step 2: Convert to fraction form
    221,557/334,975.50 = 334,975.50/x
  3. Step 3: Cross multiply
    221,557x = 334,975.50 × 334,975.50
  4. Step 4: Simplify right side
    221,557x = 112,208,585,600.25
  5. Step 5: Solve for x
    x = 112,208,585,600.25/221,557
  6. Step 6: Final answer
    x = 506,454.71

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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.