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Finding the Third Proportional to 178,209 and 235,560

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Solution

The third proportional to 178,209 and 235,560 is: 311,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,209 : 235,560 = 235,560 : x
  2. Step 2: Convert to fraction form
    178,209/235,560 = 235,560/x
  3. Step 3: Cross multiply
    178,209x = 235,560 × 235,560
  4. Step 4: Simplify right side
    178,209x = 55,488,513,600
  5. Step 5: Solve for x
    x = 55,488,513,600/178,209
  6. Step 6: Final answer
    x = 311,367.63

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.