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Finding the Third Proportional to 115,425 and 172,678.50

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Solution

The third proportional to 115,425 and 172,678.50 is: 258,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,425 : 172,678.50 = 172,678.50 : x
  2. Step 2: Convert to fraction form
    115,425/172,678.50 = 172,678.50/x
  3. Step 3: Cross multiply
    115,425x = 172,678.50 × 172,678.50
  4. Step 4: Simplify right side
    115,425x = 29,817,864,362.25
  5. Step 5: Solve for x
    x = 29,817,864,362.25/115,425
  6. Step 6: Final answer
    x = 258,331.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.