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Finding the Third Proportional to 4,602.84 and 7,200.47

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Solution

The third proportional to 4,602.84 and 7,200.47 is: 11,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.84 : 7,200.47 = 7,200.47 : x
  2. Step 2: Convert to fraction form
    4,602.84/7,200.47 = 7,200.47/x
  3. Step 3: Cross multiply
    4,602.84x = 7,200.47 × 7,200.47
  4. Step 4: Simplify right side
    4,602.84x = 51,846,750.22
  5. Step 5: Solve for x
    x = 51,846,750.22/4,602.84
  6. Step 6: Final answer
    x = 11,264.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.