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Finding the Third Proportional to 83,700 and 180,678

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Solution

The third proportional to 83,700 and 180,678 is: 390,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700 : 180,678 = 180,678 : x
  2. Step 2: Convert to fraction form
    83,700/180,678 = 180,678/x
  3. Step 3: Cross multiply
    83,700x = 180,678 × 180,678
  4. Step 4: Simplify right side
    83,700x = 32,644,539,684
  5. Step 5: Solve for x
    x = 32,644,539,684/83,700
  6. Step 6: Final answer
    x = 390,018.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.