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Finding the Third Proportional to 178,235 and 259,326.50

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Solution

The third proportional to 178,235 and 259,326.50 is: 377,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,235 : 259,326.50 = 259,326.50 : x
  2. Step 2: Convert to fraction form
    178,235/259,326.50 = 259,326.50/x
  3. Step 3: Cross multiply
    178,235x = 259,326.50 × 259,326.50
  4. Step 4: Simplify right side
    178,235x = 67,250,233,602.25
  5. Step 5: Solve for x
    x = 67,250,233,602.25/178,235
  6. Step 6: Final answer
    x = 377,312.16

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.