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Finding the Third Proportional to 78,682 and 170,490

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Solution

The third proportional to 78,682 and 170,490 is: 369,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682 : 170,490 = 170,490 : x
  2. Step 2: Convert to fraction form
    78,682/170,490 = 170,490/x
  3. Step 3: Cross multiply
    78,682x = 170,490 × 170,490
  4. Step 4: Simplify right side
    78,682x = 29,066,840,100
  5. Step 5: Solve for x
    x = 29,066,840,100/78,682
  6. Step 6: Final answer
    x = 369,421.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.