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Finding the Third Proportional to 78,657 and 170,435

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Solution

The third proportional to 78,657 and 170,435 is: 369,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657 : 170,435 = 170,435 : x
  2. Step 2: Convert to fraction form
    78,657/170,435 = 170,435/x
  3. Step 3: Cross multiply
    78,657x = 170,435 × 170,435
  4. Step 4: Simplify right side
    78,657x = 29,048,089,225
  5. Step 5: Solve for x
    x = 29,048,089,225/78,657
  6. Step 6: Final answer
    x = 369,300.75

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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.