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Finding the Third Proportional to 78,490 and 170,992

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Solution

The third proportional to 78,490 and 170,992 is: 372,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490 : 170,992 = 170,992 : x
  2. Step 2: Convert to fraction form
    78,490/170,992 = 170,992/x
  3. Step 3: Cross multiply
    78,490x = 170,992 × 170,992
  4. Step 4: Simplify right side
    78,490x = 29,238,264,064
  5. Step 5: Solve for x
    x = 29,238,264,064/78,490
  6. Step 6: Final answer
    x = 372,509.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.