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Finding the Third Proportional to 71,284 and 99,659

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Solution

The third proportional to 71,284 and 99,659 is: 139,328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,284 : 99,659 = 99,659 : x
  2. Step 2: Convert to fraction form
    71,284/99,659 = 99,659/x
  3. Step 3: Cross multiply
    71,284x = 99,659 × 99,659
  4. Step 4: Simplify right side
    71,284x = 9,931,916,281
  5. Step 5: Solve for x
    x = 9,931,916,281/71,284
  6. Step 6: Final answer
    x = 139,328.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.