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Finding the Third Proportional to 177,788 and 390,348

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Solution

The third proportional to 177,788 and 390,348 is: 857,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788 : 390,348 = 390,348 : x
  2. Step 2: Convert to fraction form
    177,788/390,348 = 390,348/x
  3. Step 3: Cross multiply
    177,788x = 390,348 × 390,348
  4. Step 4: Simplify right side
    177,788x = 152,371,561,104
  5. Step 5: Solve for x
    x = 152,371,561,104/177,788
  6. Step 6: Final answer
    x = 857,040.75

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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.