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Finding the Third Proportional to 78,580 and 170,840

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Solution

The third proportional to 78,580 and 170,840 is: 371,421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580 : 170,840 = 170,840 : x
  2. Step 2: Convert to fraction form
    78,580/170,840 = 170,840/x
  3. Step 3: Cross multiply
    78,580x = 170,840 × 170,840
  4. Step 4: Simplify right side
    78,580x = 29,186,305,600
  5. Step 5: Solve for x
    x = 29,186,305,600/78,580
  6. Step 6: Final answer
    x = 371,421.55

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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.