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Finding the Third Proportional to 60,319 and 79,319

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Solution

The third proportional to 60,319 and 79,319 is: 104,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,319 : 79,319 = 79,319 : x
  2. Step 2: Convert to fraction form
    60,319/79,319 = 79,319/x
  3. Step 3: Cross multiply
    60,319x = 79,319 × 79,319
  4. Step 4: Simplify right side
    60,319x = 6,291,503,761
  5. Step 5: Solve for x
    x = 6,291,503,761/60,319
  6. Step 6: Final answer
    x = 104,303.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.