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Finding the Third Proportional to 177,578 and 390,148

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Solution

The third proportional to 177,578 and 390,148 is: 857,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578 : 390,148 = 390,148 : x
  2. Step 2: Convert to fraction form
    177,578/390,148 = 390,148/x
  3. Step 3: Cross multiply
    177,578x = 390,148 × 390,148
  4. Step 4: Simplify right side
    177,578x = 152,215,461,904
  5. Step 5: Solve for x
    x = 152,215,461,904/177,578
  6. Step 6: Final answer
    x = 857,175.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.