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Finding the Third Proportional to 71,282.53 and 99,657.84

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Solution

The third proportional to 71,282.53 and 99,657.84 is: 139,328.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,282.53 : 99,657.84 = 99,657.84 : x
  2. Step 2: Convert to fraction form
    71,282.53/99,657.84 = 99,657.84/x
  3. Step 3: Cross multiply
    71,282.53x = 99,657.84 × 99,657.84
  4. Step 4: Simplify right side
    71,282.53x = 9,931,685,820.90
  5. Step 5: Solve for x
    x = 9,931,685,820.90/71,282.53
  6. Step 6: Final answer
    x = 139,328.47

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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.