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Finding the Third Proportional to 7,142.55 and 15,669.70

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Solution

The third proportional to 7,142.55 and 15,669.70 is: 34,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.55 : 15,669.70 = 15,669.70 : x
  2. Step 2: Convert to fraction form
    7,142.55/15,669.70 = 15,669.70/x
  3. Step 3: Cross multiply
    7,142.55x = 15,669.70 × 15,669.70
  4. Step 4: Simplify right side
    7,142.55x = 245,539,596.03
  5. Step 5: Solve for x
    x = 245,539,596.03/7,142.55
  6. Step 6: Final answer
    x = 34,377.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.